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1420665264 = 243319732371
BaseRepresentation
bin101010010101101…
…1010000110110000
310200000020021101000
41110223122012300
510402142242024
6352545442000
750130312144
oct12453320660
93600207330
101420665264
11669a23927
12337940300
13198435945
14d6971224
1584ac7cc9
hex54ada1b0

1420665264 has 160 divisors (see below), whose sum is σ = 4353094400. Its totient is φ = 442298880.

The previous prime is 1420665227. The next prime is 1420665269. The reversal of 1420665264 is 4625660241.

It is a super-3 number, since 3×14206652643 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1420665269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597999 + ... + 600369.

It is an arithmetic number, because the mean of its divisors is an integer number (27206840).

Almost surely, 21420665264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420665264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176547200).

1420665264 is an abundant number, since it is smaller than the sum of its proper divisors (2932429136).

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

1420665264 is a wasteful number, since it uses less digits than its factorization.

1420665264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1420665264 is about 37691.7134659596. The cubic root of 1420665264 is about 1124.1663655335.

The spelling of 1420665264 in words is "one billion, four hundred twenty million, six hundred sixty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 73 76 108 114 144 146 152 171 216 219 228 292 304 342 432 438 456 513 584 657 684 876 912 1026 1168 1314 1368 1387 1752 1971 2052 2371 2628 2736 2774 3504 3942 4104 4161 4742 5256 5548 7113 7884 8208 8322 9484 10512 11096 12483 14226 15768 16644 18968 21339 22192 24966 28452 31536 33288 37449 37936 42678 45049 49932 56904 64017 66576 74898 85356 90098 99864 113808 128034 135147 149796 170712 173083 180196 199728 256068 270294 299592 341424 346166 360392 405441 512136 519249 540588 599184 692332 720784 810882 1024272 1038498 1081176 1216323 1384664 1557747 1621764 2076996 2162352 2432646 2769328 3115494 3243528 3288577 4153992 4673241 4865292 6230988 6487056 6577154 8307984 9346482 9730584 9865731 12461976 13154308 18692964 19461168 19731462 24923952 26308616 29597193 37385928 39462924 52617232 59194386 74771856 78925848 88791579 118388772 157851696 177583158 236777544 355166316 473555088 710332632 1420665264