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102468645 = 3455032
BaseRepresentation
bin1100001101110…
…00110000100101
321010210221120000
412012320300211
5202212444040
614100131513
72352653256
oct606706045
9233727500
10102468645
1152928234
122a396b99
13182c9346
14d874b2d
158ee1130
hex61b8c25

102468645 has 30 divisors (see below), whose sum is σ = 184050438. Its totient is φ = 54541296.

The previous prime is 102468599. The next prime is 102468647. The reversal of 102468645 is 546864201.

102468645 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 6 + 8 + 645 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81974916 + 20493729 = 9054^2 + 4527^2 .

It is not a de Polignac number, because 102468645 - 27 = 102468517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102468647) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 203464 + ... + 203966.

Almost surely, 2102468645 is an apocalyptic number.

102468645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102468645 is a deficient number, since it is larger than the sum of its proper divisors (81581793).

102468645 is an frugal number, since it uses more digits than its factorization.

102468645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 102468645 is about 10122.6797341415. The cubic root of 102468645 is about 467.9473560114.

Multiplying 102468645 by its product of nonzero digits (46080), we get a square (4721755161600 = 21729602).

The spelling of 102468645 in words is "one hundred two million, four hundred sixty-eight thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 503 1509 2515 4527 7545 13581 22635 40743 67905 203715 253009 759027 1265045 2277081 3795135 6831243 11385405 20493729 34156215 102468645