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1050665040 = 243351925601
BaseRepresentation
bin111110100111111…
…110000001010000
32201020000022111000
4332213332001100
54122432240130
6252131222000
735015335245
oct7647760120
92636008430
101050665040
1149a089217
12253a47900
131398991b9
149d7795cc
156238d260
hex3e9fe050

1050665040 has 160 divisors (see below), whose sum is σ = 3809577600. Its totient is φ = 265420800.

The previous prime is 1050665027. The next prime is 1050665071. The reversal of 1050665040 is 405660501.

It is a happy number.

1050665040 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 650 + 4 + 0 = 666.

It is a super-2 number, since 2×10506650402 = 2207794052556403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1050664995 and 1050665013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28240 + ... + 53840.

It is an arithmetic number, because the mean of its divisors is an integer number (23809860).

Almost surely, 21050665040 is an apocalyptic number.

1050665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904788800).

1050665040 is an abundant number, since it is smaller than the sum of its proper divisors (2758912560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1050665040 is a wasteful number, since it uses less digits than its factorization.

1050665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25642 (or 25630 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1050665040 is about 32413.9636576584. The cubic root of 1050665040 is about 1016.6108969975.

The spelling of 1050665040 in words is "one billion, fifty million, six hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 25601 41040 51202 76803 102404 128005 153606 204808 230409 256010 307212 384015 409616 460818 486419 512020 614424 691227 768030 921636 972838 1024040 1152045 1228848 1382454 1459257 1536060 1843272 1945676 2048080 2304090 2432095 2764908 2918514 3072120 3456135 3686544 3891352 4377771 4608180 4864190 5529816 5837028 6144240 6912270 7296285 7782704 8755542 9216360 9728380 11059632 11674056 13133313 13824540 14592570 17511084 18432720 19456760 21888855 23348112 26266626 27649080 29185140 35022168 38913520 43777710 52533252 55298160 58370280 65666565 70044336 87555420 105066504 116740560 131333130 175110840 210133008 262666260 350221680 525332520 1050665040