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10420944 = 2431072029
BaseRepresentation
bin100111110000…
…001011010000
3201121102211220
4213300023100
510131432234
61011205040
7154401522
oct47601320
921542756
1010420944
115978456
1235a6780
13220b351
141553a12
15daca49
hex9f02d0

10420944 has 40 divisors (see below), whose sum is σ = 27185760. Its totient is φ = 3439488.

The previous prime is 10420937. The next prime is 10420951. The reversal of 10420944 is 44902401.

It is an interprime number because it is at equal distance from previous prime (10420937) and next prime (10420951).

It is a super-2 number, since 2×104209442 = 217192147702272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4122 + ... + 6150.

It is an arithmetic number, because the mean of its divisors is an integer number (679644).

Almost surely, 210420944 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 10420944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592880).

10420944 is an abundant number, since it is smaller than the sum of its proper divisors (16764816).

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

10420944 is a wasteful number, since it uses less digits than its factorization.

10420944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10420944 is about 3228.1486954600. The cubic root of 10420944 is about 218.4250048522.

The spelling of 10420944 in words is "ten million, four hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2029 2568 4058 5136 6087 8116 12174 16232 24348 32464 48696 97392 217103 434206 651309 868412 1302618 1736824 2605236 3473648 5210472 10420944