Search a number
-
+
102370056 = 233172310909
BaseRepresentation
bin1100001101000…
…00101100001000
321010121221022120
412012200230020
5202201320211
614054051240
72352062655
oct606405410
9233557276
10102370056
1152870158
122a349b20
13182934c9
14d84ac2c
158ec1d06
hex61a0b08

102370056 has 64 divisors (see below), whose sum is σ = 282787200. Its totient is φ = 30716928.

The previous prime is 102370019. The next prime is 102370067. The reversal of 102370056 is 650073201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3930 + ... + 14838.

It is an arithmetic number, because the mean of its divisors is an integer number (4418550).

Almost surely, 2102370056 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 102370056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141393600).

102370056 is an abundant number, since it is smaller than the sum of its proper divisors (180417144).

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

102370056 is a wasteful number, since it uses less digits than its factorization.

102370056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10958 (or 10954 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 102370056 is about 10117.8088536995. The cubic root of 102370056 is about 467.7972311750.

The spelling of 102370056 in words is "one hundred two million, three hundred seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 9384 10909 21818 32727 43636 65454 87272 130908 185453 250907 261816 370906 501814 556359 741812 752721 1003628 1112718 1483624 1505442 2007256 2225436 3010884 4265419 4450872 6021768 8530838 12796257 17061676 25592514 34123352 51185028 102370056