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10311972 = 2231178121
BaseRepresentation
bin100111010101…
…100100100100
3201101220100220
4213111210210
510114440342
61005004340
7153436026
oct47254444
921356326
1010311972
1159035a0
1235536b0
1321a0878
141526016
15d8a5ec
hex9d5924

10311972 has 24 divisors (see below), whose sum is σ = 26248992. Its totient is φ = 3124800.

The previous prime is 10311953. The next prime is 10311997. The reversal of 10311972 is 27911301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38929 + ... + 39192.

It is an arithmetic number, because the mean of its divisors is an integer number (1093708).

Almost surely, 210311972 is an apocalyptic number.

10311972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10311972 is an abundant number, since it is smaller than the sum of its proper divisors (15937020).

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

10311972 is a wasteful number, since it uses less digits than its factorization.

10311972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78139 (or 78137 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 10311972 is about 3211.2259341255. The cubic root of 10311972 is about 217.6609774052.

It can be divided in two parts, 1031 and 1972, that added together give a palindrome (3003).

The spelling of 10311972 in words is "ten million, three hundred eleven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 78121 156242 234363 312484 468726 859331 937452 1718662 2577993 3437324 5155986 10311972