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132714580 = 22517222961
BaseRepresentation
bin1111110100100…
…01000001010100
3100020201121011211
413322101001110
5232433331310
621100311204
73201024655
oct772210124
9306647154
10132714580
1168a06479
1238542504
132165924b
14138a952c
15b9b7c8a
hex7e91054

132714580 has 36 divisors (see below), whose sum is σ = 296072028. Its totient is φ = 49960960.

The previous prime is 132714553. The next prime is 132714583. The reversal of 132714580 is 85417231.

It can be written as a sum of positive squares in 6 ways, for example, as 13337104 + 119377476 = 3652^2 + 10926^2 .

It is a super-2 number, since 2×1327145802 = 35226319489152800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132714583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5701 + ... + 17260.

It is an arithmetic number, because the mean of its divisors is an integer number (8224223).

Almost surely, 2132714580 is an apocalyptic number.

132714580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132714580 is an abundant number, since it is smaller than the sum of its proper divisors (163357448).

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

132714580 is a wasteful number, since it uses less digits than its factorization.

132714580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23004 (or 22985 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 132714580 is about 11520.1814221826. The cubic root of 132714580 is about 510.0814684668.

The spelling of 132714580 in words is "one hundred thirty-two million, seven hundred fourteen thousand, five hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 22961 45922 91844 114805 229610 390337 459220 780674 1561348 1951685 3903370 6635729 7806740 13271458 26542916 33178645 66357290 132714580