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102273984 = 2632353503
BaseRepresentation
bin1100001100010…
…01001111000000
321010110001112100
412012021033000
5202140231414
614052030400
72351212611
oct606111700
9233401470
10102273984
1152804a5a
122a302400
131825b867
14d823c08
158ea3609
hex61893c0

102273984 has 84 divisors (see below), whose sum is σ = 294564816. Its totient is φ = 33927168.

The previous prime is 102273947. The next prime is 102274001. The reversal of 102273984 is 489372201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203077 + ... + 203579.

It is an arithmetic number, because the mean of its divisors is an integer number (3506724).

Almost surely, 2102273984 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 102273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147282408).

102273984 is an abundant number, since it is smaller than the sum of its proper divisors (192290832).

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

102273984 is a wasteful number, since it uses less digits than its factorization.

102273984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 102273984 is about 10113.0600710171. The cubic root of 102273984 is about 467.6508463050.

The spelling of 102273984 in words is "one hundred two million, two hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 353 503 576 706 1006 1059 1412 1509 2012 2118 2824 3018 3177 4024 4236 4527 5648 6036 6354 8048 8472 9054 11296 12072 12708 16096 16944 18108 22592 24144 25416 32192 33888 36216 48288 50832 67776 72432 96576 101664 144864 177559 203328 289728 355118 532677 710236 1065354 1420472 1598031 2130708 2840944 3196062 4261416 5681888 6392124 8522832 11363776 12784248 17045664 25568496 34091328 51136992 102273984