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132707470 = 25723139593
BaseRepresentation
bin1111110100011…
…11010010001110
3100020201020102111
413322033102032
5232433114340
621100214234
73200665150
oct772172216
9306636374
10132707470
1168a010a5
123853a37a
1321655c3c
14138a6ad0
15b9b5aea
hex7e8f48e

132707470 has 64 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 43135488.

The previous prime is 132707459. The next prime is 132707479. The reversal of 132707470 is 74707231.

132707470 = T237 + T238 + ... + T931.

It is a super-2 number, since 2×1327074702 = 35222545187601800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132707479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223494 + ... + 224086.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2132707470 is an apocalyptic number.

132707470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132707470 is an abundant number, since it is smaller than the sum of its proper divisors (154693490).

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

132707470 is a wasteful number, since it uses less digits than its factorization.

132707470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769.

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 132707470 is about 11519.8728291592. The cubic root of 132707470 is about 510.0723593345.

The spelling of 132707470 in words is "one hundred thirty-two million, seven hundred seven thousand, four hundred seventy".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 139 161 230 278 322 593 695 805 973 1186 1390 1610 1946 2965 3197 4151 4865 5930 6394 8302 9730 13639 15985 20755 22379 27278 31970 41510 44758 68195 82427 95473 111895 136390 164854 190946 223790 412135 477365 576989 824270 954730 1153978 1895821 2884945 3791642 5769890 9479105 13270747 18958210 26541494 66353735 132707470