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10423936 = 27313771
BaseRepresentation
bin100111110000…
…111010000000
3201121120221201
4213300322000
510132031221
61011230544
7154413325
oct47607200
921546851
1010423936
11597a726
1235a8454
13220c813
141554b4c
15dad891
hex9f0e80

10423936 has 64 divisors (see below), whose sum is σ = 22325760. Its totient is φ = 4838400.

The previous prime is 10423921. The next prime is 10423939. The reversal of 10423936 is 63932401.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10423939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146781 + ... + 146851.

It is an arithmetic number, because the mean of its divisors is an integer number (348840).

Almost surely, 210423936 is an apocalyptic number.

10423936 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 10423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162880).

10423936 is an abundant number, since it is smaller than the sum of its proper divisors (11901824).

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

10423936 is an equidigital number, since it uses as much as digits as its factorization.

10423936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 10423936 is about 3228.6120857111. The cubic root of 10423936 is about 218.4459071517.

The spelling of 10423936 in words is "ten million, four hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 37 62 64 71 74 124 128 142 148 248 284 296 496 568 592 992 1136 1147 1184 1984 2201 2272 2294 2368 2627 3968 4402 4544 4588 4736 5254 8804 9088 9176 10508 17608 18352 21016 35216 36704 42032 70432 73408 81437 84064 140864 146816 162874 168128 281728 325748 336256 651496 1302992 2605984 5211968 10423936