Search a number
-
+
102655344 = 24311199977
BaseRepresentation
bin1100001111001…
…10010101110000
321011011102122210
412013212111300
5202234432334
614104132120
72354361501
oct607462560
9234142583
10102655344
1152a45530
122a467040
131836330c
14d8c2ba8
15902b5e9
hex61e6570

102655344 has 80 divisors (see below), whose sum is σ = 291052800. Its totient is φ = 30919680.

The previous prime is 102655337. The next prime is 102655351. The reversal of 102655344 is 443556201.

It is an interprime number because it is at equal distance from previous prime (102655337) and next prime (102655351).

It is a congruent number.

It is an unprimeable number.

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, 104584 + ... + 105560.

It is an arithmetic number, because the mean of its divisors is an integer number (3638160).

Almost surely, 2102655344 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 102655344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145526400).

102655344 is an abundant number, since it is smaller than the sum of its proper divisors (188397456).

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

102655344 is a wasteful number, since it uses less digits than its factorization.

102655344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 102655344 is about 10131.8973543952. The cubic root of 102655344 is about 468.2313853255.

The spelling of 102655344 in words is "one hundred two million, six hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 199 264 398 528 597 796 977 1194 1592 1954 2189 2388 2931 3184 3908 4378 4776 5862 6567 7816 8756 9552 10747 11724 13134 15632 17512 21494 23448 26268 32241 35024 42988 46896 52536 64482 85976 105072 128964 171952 194423 257928 388846 515856 583269 777692 1166538 1555384 2138653 2333076 3110768 4277306 4666152 6415959 8554612 9332304 12831918 17109224 25663836 34218448 51327672 102655344