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10423616 = 26753439
BaseRepresentation
bin100111110000…
…110101000000
3201121120111212
4213300311000
510132023431
61011225252
7154412360
oct47606500
921546455
1010423616
11597a465
1235a8228
13220c628
1415549a0
15dad72b
hex9f0d40

10423616 has 56 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 4372992.

The previous prime is 10423607. The next prime is 10423627. The reversal of 10423616 is 61632401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 10423591 and 10423600.

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, 23525 + ... + 23963.

Almost surely, 210423616 is an apocalyptic number.

10423616 is a gapful number since it is divisible by the number (16) 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 10423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

10423616 is an abundant number, since it is smaller than the sum of its proper divisors (13716544).

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

10423616 is an equidigital number, since it uses as much as digits as its factorization.

10423616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10423616 is about 3228.5625284327. The cubic root of 10423616 is about 218.4436718027.

The spelling of 10423616 in words is "ten million, four hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 439 448 742 848 878 1484 1696 1756 2968 3073 3392 3512 5936 6146 7024 11872 12292 14048 23267 23744 24584 28096 46534 49168 93068 98336 162869 186136 196672 325738 372272 651476 744544 1302952 1489088 2605904 5211808 10423616