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102002944 = 281967313
BaseRepresentation
bin1100001010001…
…11000100000000
321002221021201211
412011013010000
5202103043234
614042135504
72346003451
oct605070400
9232837654
10102002944
115263a35a
122a1b1594
1318195394
14d793128
158e4d164
hex6147100

102002944 has 72 divisors (see below), whose sum is σ = 218217440. Its totient is φ = 47443968.

The previous prime is 102002909. The next prime is 102002951. The reversal of 102002944 is 449200201.

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, 325732 + ... + 326044.

Almost surely, 2102002944 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 102002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109108720).

102002944 is an abundant number, since it is smaller than the sum of its proper divisors (116214496).

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

102002944 is an equidigital number, since it uses as much as digits as its factorization.

102002944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 102002944 is about 10099.6506870287. The cubic root of 102002944 is about 467.2373680000.

The spelling of 102002944 in words is "one hundred two million, two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 256 268 304 313 536 608 626 1072 1216 1252 1273 2144 2432 2504 2546 4288 4864 5008 5092 5947 8576 10016 10184 11894 17152 20032 20368 20971 23788 40064 40736 41942 47576 80128 81472 83884 95152 162944 167768 190304 325888 335536 380608 398449 671072 761216 796898 1342144 1522432 1593796 2684288 3187592 5368576 6375184 12750368 25500736 51001472 102002944