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10055332 = 2271941461
BaseRepresentation
bin100110010110…
…111010100100
3200220212022201
4212112322210
510033232312
6555304244
7151316560
oct46267244
920825281
1010055332
1157487a1
12344b084
132110b01
14149a6a0
15d39557
hex996ea4

10055332 has 48 divisors (see below), whose sum is σ = 21732480. Its totient is φ = 3974400.

The previous prime is 10055329. The next prime is 10055333. The reversal of 10055332 is 23355001.

10055332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100553322 = 202219403260448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (10055333) 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, 21582 + ... + 22042.

It is an arithmetic number, because the mean of its divisors is an integer number (452760).

Almost surely, 210055332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866240).

10055332 is an abundant number, since it is smaller than the sum of its proper divisors (11677148).

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

10055332 is a wasteful number, since it uses less digits than its factorization.

10055332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 10055332 is about 3171.0143487534. The cubic root of 10055332 is about 215.8401022840.

The spelling of 10055332 in words is "ten million, fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 461 532 574 779 922 1148 1558 1844 3116 3227 5453 6454 8759 10906 12908 17518 18901 21812 35036 37802 61313 75604 122626 132307 245252 264614 359119 529228 718238 1436476 2513833 5027666 10055332