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103373824 = 210157643
BaseRepresentation
bin1100010100101…
…01110000000000
321012111221020011
412022111300000
5202430430244
614131354304
72363443261
oct612256000
9235457204
10103373824
1153396314
122a752994
1318555358
14da2c968
15911e434
hex6295c00

103373824 has 44 divisors (see below), whose sum is σ = 208286344. Its totient is φ = 51277824.

The previous prime is 103373807. The next prime is 103373839. The reversal of 103373824 is 428373301.

It is a super-2 number, since 2×1033738242 = 21372294976765952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160447 + ... + 161089.

Almost surely, 2103373824 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 103373824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104143172).

103373824 is an abundant number, since it is smaller than the sum of its proper divisors (104912520).

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

103373824 is an equidigital number, since it uses as much as digits as its factorization.

103373824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 103373824 is about 10167.2918714867. The cubic root of 103373824 is about 469.3212232872.

It can be divided in two parts, 10337 and 3824, that added together give a square (14161 = 1192).

The spelling of 103373824 in words is "one hundred three million, three hundred seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 643 1024 1256 1286 2512 2572 5024 5144 10048 10288 20096 20576 40192 41152 80384 82304 100951 160768 164608 201902 329216 403804 658432 807608 1615216 3230432 6460864 12921728 25843456 51686912 103373824