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985728780 = 2232520292699
BaseRepresentation
bin111010110000010…
…000011100001100
32112200211012200100
4322300100130030
54004321310110
6241451331100
733266361561
oct7260203414
92480735610
10985728780
11466466693
12236150a90
131292b148a
1494cb4868
155b812bc0
hex3ac1070c

985728780 has 72 divisors (see below), whose sum is σ = 2992626000. Its totient is φ = 262634112.

The previous prime is 985728767. The next prime is 985728787. The reversal of 985728780 is 87827589.

It is a super-2 number, since 2×9857287802 = 1943322455440576800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (985728787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363871 + ... + 366569.

It is an arithmetic number, because the mean of its divisors is an integer number (41564250).

Almost surely, 2985728780 is an apocalyptic number.

985728780 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

985728780 is an abundant number, since it is smaller than the sum of its proper divisors (2006897220).

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

985728780 is a wasteful number, since it uses less digits than its factorization.

985728780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 985728780 is about 31396.3179369811. The cubic root of 985728780 is about 995.2201157759.

The spelling of 985728780 in words is "nine hundred eighty-five million, seven hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2029 2699 4058 5398 6087 8097 8116 10145 10796 12174 13495 16194 18261 20290 24291 24348 26990 30435 32388 36522 40485 40580 48582 53980 60870 73044 80970 91305 97164 121455 121740 161940 182610 242910 365220 485820 5476271 10952542 16428813 21905084 27381355 32857626 49286439 54762710 65715252 82144065 98572878 109525420 164288130 197145756 246432195 328576260 492864390 985728780