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103072644 = 223219314861
BaseRepresentation
bin1100010010011…
…00001110000100
321011221122002100
412021030032010
5202341311034
614121112100
72361050223
oct611141604
9234848070
10103072644
1153200004
122a628630
131847b23c
14d990cba
1590b0099
hex624c384

103072644 has 72 divisors (see below), whose sum is σ = 283162880. Its totient is φ = 31492800.

The previous prime is 103072633. The next prime is 103072667. The reversal of 103072644 is 446270301.

103072644 is a `hidden beast` number, since 10 + 3 + 0 + 7 + 2 + 644 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18774 + ... + 23634.

Almost surely, 2103072644 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 103072644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141581440).

103072644 is an abundant number, since it is smaller than the sum of its proper divisors (180090236).

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

103072644 is a wasteful number, since it uses less digits than its factorization.

103072644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 103072644 is about 10152.4698472835. The cubic root of 103072644 is about 468.8649902425.

The spelling of 103072644 in words is "one hundred three million, seventy-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1767 2356 3534 4861 5301 7068 9722 10602 14583 19444 21204 29166 43749 58332 87498 92359 150691 174996 184718 277077 301382 369436 452073 554154 602764 831231 904146 1108308 1356219 1662462 1808292 2712438 2863129 3324924 5424876 5726258 8589387 11452516 17178774 25768161 34357548 51536322 103072644