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10132402240 = 265283711161
BaseRepresentation
bin10010110111111000…
…00011000001000000
3222011010220100212001
421123330003001000
5131222343332430
64353232313344
7506042666212
oct113374030100
928133810761
1010132402240
11432a527854
121b693a2854
13c562674ac
146c198a5b2
153e48133ca
hex25bf03040

10132402240 has 56 divisors (see below), whose sum is σ = 24138450072. Its totient is φ = 4051169280.

The previous prime is 10132402219. The next prime is 10132402321. The reversal of 10132402240 is 4220423101.

It can be written as a sum of positive squares in 4 ways, for example, as 867184704 + 9265217536 = 29448^2 + 96256^2 .

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 7 ways as a sum of consecutive naturals, for example, 902260 + ... + 913420.

Almost surely, 210132402240 is an apocalyptic number.

10132402240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132402240 is an abundant number, since it is smaller than the sum of its proper divisors (14006047832).

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

10132402240 is a wasteful number, since it uses less digits than its factorization.

10132402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14015 (or 14005 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10132402240 its reverse (4220423101), we get a palindrome (14352825341).

The spelling of 10132402240 in words is "ten billion, one hundred thirty-two million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2837 5674 11161 11348 14185 22322 22696 28370 44644 45392 55805 56740 89288 90784 111610 113480 178576 181568 223220 226960 357152 446440 453920 714304 892880 907840 1785760 3571520 31663757 63327514 126655028 158318785 253310056 316637570 506620112 633275140 1013240224 1266550280 2026480448 2533100560 5066201120 10132402240