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972121404 = 2231723207187
BaseRepresentation
bin111001111100010…
…110010100111100
32111202012212212110
4321330112110330
53442330341104
6240243534020
733042616122
oct7174262474
92452185773
10972121404
11459812221
1223168a310
13126528987
1493171912
155a525e89
hex39f1653c

972121404 has 48 divisors (see below), whose sum is σ = 2506146048. Its totient is φ = 291717888.

The previous prime is 972121349. The next prime is 972121411. The reversal of 972121404 is 404121279.

It is a super-2 number, since 2×9721214042 = 1890040048229862432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98902 + ... + 108285.

It is an arithmetic number, because the mean of its divisors is an integer number (52211376).

Almost surely, 2972121404 is an apocalyptic number.

It is an amenable number.

972121404 is an abundant number, since it is smaller than the sum of its proper divisors (1534024644).

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

972121404 is a wasteful number, since it uses less digits than its factorization.

972121404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207234 (or 207232 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 972121404 is about 31178.8614930052. The cubic root of 972121404 is about 990.6194144305.

It can be divided in two parts, 9721 and 21404, that added together give a triangular number (31125 = T249).

The spelling of 972121404 in words is "nine hundred seventy-two million, one hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 207187 414374 621561 828748 1243122 2486244 3522179 4765301 7044358 9530602 10566537 14088716 14295903 19061204 21133074 28591806 42266148 57183612 81010117 162020234 243030351 324040468 486060702 972121404