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132714288 = 2434714629
BaseRepresentation
bin1111110100100…
…00111100110000
3100020201120210000
413322100330300
5232433324123
621100310000
73201024060
oct772207460
9306646700
10132714288
1168a06233
1238542300
1321659085
14138a93a0
15b9b7b43
hex7e90f30

132714288 has 100 divisors (see below), whose sum is σ = 439017040. Its totient is φ = 37915776.

The previous prime is 132714277. The next prime is 132714289. The reversal of 132714288 is 882417231.

It is a super-2 number, since 2×1327142882 = 35226164478693888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132714289) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1758 + ... + 16386.

Almost surely, 2132714288 is an apocalyptic number.

132714288 is a gapful number since it is divisible by the number (18) 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 132714288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219508520).

132714288 is an abundant number, since it is smaller than the sum of its proper divisors (306302752).

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

132714288 is a wasteful number, since it uses less digits than its factorization.

132714288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14656 (or 14641 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 132714288 is about 11520.1687487641. The cubic root of 132714288 is about 510.0810943711.

The spelling of 132714288 in words is "one hundred thirty-two million, seven hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 14629 29258 43887 58516 87774 102403 117032 131661 175548 204806 234064 263322 307209 351096 394983 409612 526644 614418 702192 789966 819224 921627 1053288 1184949 1228836 1579932 1638448 1843254 2106576 2369898 2457672 2764881 3159864 3686508 4739796 4915344 5529762 6319728 7373016 8294643 9479592 11059524 14746032 16589286 18959184 22119048 33178572 44238096 66357144 132714288