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10420956 = 22327133181
BaseRepresentation
bin100111110000…
…001011011100
3201121102212100
4213300023130
510131432311
61011205100
7154401540
oct47601334
921542770
1010420956
115978467
1235a6790
13220b360
141553a20
15daca56
hex9f02dc

10420956 has 72 divisors (see below), whose sum is σ = 32430944. Its totient is φ = 2747520.

The previous prime is 10420951. The next prime is 10420957. The reversal of 10420956 is 65902401.

10420956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1686 + ... + 4866.

Almost surely, 210420956 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 10420956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215472).

10420956 is an abundant number, since it is smaller than the sum of its proper divisors (22009988).

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

10420956 is a wasteful number, since it uses less digits than its factorization.

10420956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10420956 is about 3228.1505541099. The cubic root of 10420956 is about 218.4250886929.

The spelling of 10420956 in words is "ten million, four hundred twenty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3181 3276 6362 9543 12724 19086 22267 28629 38172 41353 44534 57258 66801 82706 89068 114516 124059 133602 165412 200403 248118 267204 289471 372177 400806 496236 578942 744354 801612 868413 1157884 1488708 1736826 2605239 3473652 5210478 10420956