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1960432656 = 2437131721553
BaseRepresentation
bin111010011011001…
…1101010000010000
312001121220022000220
41310312131100100
513003332321111
6522310513040
766403255050
oct16466352020
95047808026
101960432656
11916682086
12468665780
13253202730
14148519560
15b7198e06
hex74d9d410

1960432656 has 240 divisors, whose sum is σ = 6625659264. Its totient is φ = 486309888.

The previous prime is 1960432631. The next prime is 1960432657. The reversal of 1960432656 is 6562340691.

It is a super-2 number, since 2×19604326562 = 7686592397422428672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1960432657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261576 + ... + 1263128.

Almost surely, 21960432656 is an apocalyptic number.

1960432656 is a gapful number since it is divisible by the number (16) 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 1960432656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312829632).

1960432656 is an abundant number, since it is smaller than the sum of its proper divisors (4665226608).

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

1960432656 is a wasteful number, since it uses less digits than its factorization.

1960432656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 1960432656 is about 44276.7733241708. The cubic root of 1960432656 is about 1251.5570263432.

The spelling of 1960432656 in words is "one billion, nine hundred sixty million, four hundred thirty-two thousand, six hundred fifty-six".