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132788380 = 22583167479
BaseRepresentation
bin1111110101000…
…11000010011100
3100020212100102011
413322203002130
5232443212010
621102041004
73201453064
oct772430234
9306770364
10132788380
1168a5696a
1238579164
1321683a0a
14138c83a4
15b9cea8a
hex7ea309c

132788380 has 48 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 52052288.

The previous prime is 132788371. The next prime is 132788393. The reversal of 132788380 is 83887231.

It is a congruent number.

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, 276981 + ... + 277459.

It is an arithmetic number, because the mean of its divisors is an integer number (5927040).

Almost surely, 2132788380 is an apocalyptic number.

132788380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132788380 is an abundant number, since it is smaller than the sum of its proper divisors (151709540).

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

132788380 is a wasteful number, since it uses less digits than its factorization.

132788380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 132788380 is about 11523.3840515710. The cubic root of 132788380 is about 510.1759997455.

The spelling of 132788380 in words is "one hundred thirty-two million, seven hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 83 166 167 332 334 415 479 668 830 835 958 1660 1670 1916 2395 3340 4790 9580 13861 27722 39757 55444 69305 79514 79993 138610 159028 159986 198785 277220 319972 397570 399965 795140 799930 1599860 6639419 13278838 26557676 33197095 66394190 132788380