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132715240 = 23571573019
BaseRepresentation
bin1111110100100…
…01001011101000
3100020201122002021
413322101023220
5232433341430
621100314224
73201026620
oct772211350
9306648067
10132715240
1168a06a19
1238542974
1321659638
14138a9880
15b9b807a
hex7e912e8

132715240 has 64 divisors (see below), whose sum is σ = 343555200. Its totient is φ = 45197568.

The previous prime is 132715217. The next prime is 132715273. The reversal of 132715240 is 42517231.

It is a happy number.

It is a super-2 number, since 2×1327152402 = 35226669856515200, which contains 22 as substring.

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, 42451 + ... + 45469.

It is an arithmetic number, because the mean of its divisors is an integer number (5368050).

Almost surely, 2132715240 is an apocalyptic number.

132715240 is a gapful number since it is divisible by the number (10) 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 132715240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171777600).

132715240 is an abundant number, since it is smaller than the sum of its proper divisors (210839960).

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

132715240 is a wasteful number, since it uses less digits than its factorization.

132715240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 132715240 is about 11520.2100675292. The cubic root of 132715240 is about 510.0823140238.

The spelling of 132715240 in words is "one hundred thirty-two million, seven hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 157 280 314 628 785 1099 1256 1570 2198 3019 3140 4396 5495 6038 6280 8792 10990 12076 15095 21133 21980 24152 30190 42266 43960 60380 84532 105665 120760 169064 211330 422660 473983 845320 947966 1895932 2369915 3317881 3791864 4739830 6635762 9479660 13271524 16589405 18959320 26543048 33178810 66357620 132715240