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102975140 = 2252329733
BaseRepresentation
bin1100010001101…
…00011010100100
321011202200100002
412020310122210
5202330201030
614115040432
72360163032
oct610643244
9234680302
10102975140
1153143824
122a5a0118
1318445a48
14d967552
159091245
hex62346a4

102975140 has 36 divisors (see below), whose sum is σ = 226081884. Its totient is φ = 39395136.

The previous prime is 102975139. The next prime is 102975151. The reversal of 102975140 is 41579201.

It can be written as a sum of positive squares in 2 ways, for example, as 65545216 + 37429924 = 8096^2 + 6118^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5714 + ... + 15446.

Almost surely, 2102975140 is an apocalyptic number.

102975140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102975140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113040942).

102975140 is an abundant number, since it is smaller than the sum of its proper divisors (123106744).

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

102975140 is a wasteful number, since it uses less digits than its factorization.

102975140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 102975140 is about 10147.6667268885. Note that the first 3 decimals coincide. The cubic root of 102975140 is about 468.7170989648.

The spelling of 102975140 in words is "one hundred two million, nine hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 2116 2645 5290 9733 10580 19466 38932 48665 97330 194660 223859 447718 895436 1119295 2238590 4477180 5148757 10297514 20595028 25743785 51487570 102975140