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132500240 = 24523107673
BaseRepresentation
bin1111110010111…
…00101100010000
3100020022201011022
413321130230100
5232410001430
621051535012
73166143035
oct771345420
9306281138
10132500240
116887a434
123845a468
13215b2812
141385138c
15b9744e5
hex7e5cb10

132500240 has 80 divisors (see below), whose sum is σ = 324943488. Its totient is φ = 50147328.

The previous prime is 132500237. The next prime is 132500257. The reversal of 132500240 is 42005231.

It is a tau number, because it is divible by the number of its divisors (80).

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, 196544 + ... + 197216.

Almost surely, 2132500240 is an apocalyptic number.

132500240 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 132500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162471744).

132500240 is an abundant number, since it is smaller than the sum of its proper divisors (192443248).

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

132500240 is a wasteful number, since it uses less digits than its factorization.

132500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 132500240 is about 11510.8748581504. The cubic root of 132500240 is about 509.8067190186.

Adding to 132500240 its reverse (42005231), we get a palindrome (174505471).

The spelling of 132500240 in words is "one hundred thirty-two million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 107 115 184 214 230 368 428 460 535 673 856 920 1070 1346 1712 1840 2140 2461 2692 3365 4280 4922 5384 6730 8560 9844 10768 12305 13460 15479 19688 24610 26920 30958 39376 49220 53840 61916 72011 77395 98440 123832 144022 154790 196880 247664 288044 309580 360055 576088 619160 720110 1152176 1238320 1440220 1656253 2880440 3312506 5760880 6625012 8281265 13250024 16562530 26500048 33125060 66250120 132500240