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1000555040 = 25559831277
BaseRepresentation
bin111011101000110…
…100001000100000
32120201201110111002
4323220310020200
54022120230130
6243141211132
733536402042
oct7350641040
92521643432
101000555040
114738728a1
1223b100aa8
1312c3a2a04
1496c53a92
155cc90b45
hex3ba34220

1000555040 has 96 divisors (see below), whose sum is σ = 2434743360. Its totient is φ = 388393984.

The previous prime is 1000555033. The next prime is 1000555063. The reversal of 1000555040 is 405550001.

It is a super-2 number, since 2×10005550402 = 2002220776138803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782882 + ... + 784158.

It is an arithmetic number, because the mean of its divisors is an integer number (25361910).

Almost surely, 21000555040 is an apocalyptic number.

1000555040 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 1000555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217371680).

1000555040 is an abundant number, since it is smaller than the sum of its proper divisors (1434188320).

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

1000555040 is a wasteful number, since it uses less digits than its factorization.

1000555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1000555040 is about 31631.5513372329. The cubic root of 1000555040 is about 1000.1849791140.

The spelling of 1000555040 in words is "one billion, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 83 118 160 166 236 295 332 415 472 590 664 830 944 1180 1277 1328 1660 1888 2360 2554 2656 3320 4720 4897 5108 6385 6640 9440 9794 10216 12770 13280 19588 20432 24485 25540 39176 40864 48970 51080 75343 78352 97940 102160 105991 150686 156704 195880 204320 211982 301372 376715 391760 423964 529955 602744 753430 783520 847928 1059910 1205488 1506860 1695856 2119820 2410976 3013720 3391712 4239640 6027440 6253469 8479280 12054880 12506938 16958560 25013876 31267345 50027752 62534690 100055504 125069380 200111008 250138760 500277520 1000555040