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10147332 = 22313292243
BaseRepresentation
bin100110101101…
…011000000100
3201002112112010
4212231120010
510044203312
61001254220
7152152026
oct46553004
921075463
1010147332
115800928
123494370
132143950
1414c2016
15d5693c
hex9ad604

10147332 has 48 divisors (see below), whose sum is σ = 26389440. Its totient is φ = 3013248.

The previous prime is 10147309. The next prime is 10147337. The reversal of 10147332 is 23374101.

It is a junction number, because it is equal to n+sod(n) for n = 10147299 and 10147308.

It is not an unprimeable number, because it can be changed into a prime (10147337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3403 + ... + 5645.

It is an arithmetic number, because the mean of its divisors is an integer number (549780).

Almost surely, 210147332 is an apocalyptic number.

10147332 is a gapful number since it is divisible by the number (12) 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 10147332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194720).

10147332 is an abundant number, since it is smaller than the sum of its proper divisors (16242108).

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

10147332 is a wasteful number, since it uses less digits than its factorization.

10147332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10147332 is about 3185.4877177600. The cubic root of 10147332 is about 216.4963721708.

The spelling of 10147332 in words is "ten million, one hundred forty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2243 2262 4486 4524 6729 8972 13458 26916 29159 58318 65047 87477 116636 130094 174954 195141 260188 349908 390282 780564 845611 1691222 2536833 3382444 5073666 10147332