Search a number
-
+
102145056 = 2531381847
BaseRepresentation
bin1100001011010…
…01110000100000
321010012111200020
412011221300200
5202122120211
614045153440
72350134666
oct605516040
9233174606
10102145056
1152727102
122a25b880
1318214c80
14d7ccc36
158e7a306
hex6169c20

102145056 has 48 divisors (see below), whose sum is σ = 288759744. Its totient is φ = 31428864.

The previous prime is 102145009. The next prime is 102145079. The reversal of 102145056 is 650541201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1021450562 = 20867224930486272, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 39676 + ... + 42171.

It is an arithmetic number, because the mean of its divisors is an integer number (6015828).

Almost surely, 2102145056 is an apocalyptic number.

102145056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102145056 is an abundant number, since it is smaller than the sum of its proper divisors (186614688).

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

102145056 is a wasteful number, since it uses less digits than its factorization.

102145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81873 (or 81865 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 102145056 is about 10106.6837290973. The cubic root of 102145056 is about 467.4542546296.

Adding to 102145056 its reverse (650541201), we get a palindrome (752686257).

The spelling of 102145056 in words is "one hundred two million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 81847 163694 245541 327388 491082 654776 982164 1064011 1309552 1964328 2128022 2619104 3192033 3928656 4256044 6384066 7857312 8512088 12768132 17024176 25536264 34048352 51072528 102145056