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132955500 = 22353151587
BaseRepresentation
bin1111110110010…
…11110101101100
3100021011211122210
413323023311230
5233014034000
621105410420
73203050236
oct773136554
9307154583
10132955500
1169060487
1238639a10
1321711ac2
141392d256
15ba14350
hex7ecbd6c

132955500 has 96 divisors (see below), whose sum is σ = 390394368. Its totient is φ = 35160000.

The previous prime is 132955481. The next prime is 132955507. The reversal of 132955500 is 5559231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132955507) 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, 226207 + ... + 226793.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2132955500 is an apocalyptic number.

132955500 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 132955500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

132955500 is an abundant number, since it is smaller than the sum of its proper divisors (257438868).

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

132955500 is a wasteful number, since it uses less digits than its factorization.

132955500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 132955500 is about 11530.6331135805. The cubic root of 132955500 is about 510.3899363113.

The spelling of 132955500 in words is "one hundred thirty-two million, nine hundred fifty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 151 250 300 302 375 453 500 587 604 750 755 906 1174 1500 1510 1761 1812 2265 2348 2935 3020 3522 3775 4530 5870 7044 7550 8805 9060 11325 11740 14675 15100 17610 18875 22650 29350 35220 37750 44025 45300 56625 58700 73375 75500 88050 88637 113250 146750 176100 177274 220125 226500 265911 293500 354548 440250 443185 531822 880500 886370 1063644 1329555 1772740 2215925 2659110 4431850 5318220 6647775 8863700 11079625 13295550 22159250 26591100 33238875 44318500 66477750 132955500