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103260288 = 2731914153
BaseRepresentation
bin1100010011110…
…10000010000000
321012022011111010
412021322002000
5202413312123
614125120520
72362461255
oct611720200
9235264433
10103260288
1153318a8a
122a6b9140
1318515781
14d9dd42c
1590ea993
hex627a080

103260288 has 64 divisors (see below), whose sum is σ = 288741600. Its totient is φ = 32606208.

The previous prime is 103260277. The next prime is 103260299. The reversal of 103260288 is 882062301.

It is an interprime number because it is at equal distance from previous prime (103260277) and next prime (103260299).

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

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, 220 + ... + 14372.

Almost surely, 2103260288 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 103260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144370800).

103260288 is an abundant number, since it is smaller than the sum of its proper divisors (185481312).

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

103260288 is a wasteful number, since it uses less digits than its factorization.

103260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14189 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 103260288 is about 10161.7069432256. The cubic root of 103260288 is about 469.1493410449.

The spelling of 103260288 in words is "one hundred three million, two hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 14153 28306 42459 56612 84918 113224 169836 226448 268907 339672 452896 537814 679344 806721 905792 1075628 1358688 1613442 1811584 2151256 2717376 3226884 4302512 5434752 6453768 8605024 12907536 17210048 25815072 34420096 51630144 103260288