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102653004 = 223171373673
BaseRepresentation
bin1100001111001…
…01110001001100
321011011022110010
412013211301030
5202234344004
614104113220
72354351616
oct607456114
9234138403
10102653004
1152a437a3
122a465810
131836222c
14d8c1db6
15902aa89
hex61e5c4c

102653004 has 48 divisors (see below), whose sum is σ = 255534048. Its totient is φ = 31961088.

The previous prime is 102653003. The next prime is 102653009. The reversal of 102653004 is 400356201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102653003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26112 + ... + 29784.

It is an arithmetic number, because the mean of its divisors is an integer number (5323626).

Almost surely, 2102653004 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 102653004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127767024).

102653004 is an abundant number, since it is smaller than the sum of its proper divisors (152881044).

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

102653004 is a wasteful number, since it uses less digits than its factorization.

102653004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 102653004 is about 10131.7818768467. The cubic root of 102653004 is about 468.2278275638.

The spelling of 102653004 in words is "one hundred two million, six hundred fifty-three thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 137 204 274 411 548 822 1644 2329 3673 4658 6987 7346 9316 11019 13974 14692 22038 27948 44076 62441 124882 187323 249764 374646 503201 749292 1006402 1509603 2012804 3019206 6038412 8554417 17108834 25663251 34217668 51326502 102653004