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132945600 = 2635227697
BaseRepresentation
bin1111110110010…
…01011011000000
3100021011100002010
413323021123000
5233013224400
621105252520
73203006334
oct773113300
9307140063
10132945600
1169053aa7
1238634140
132170a448
14139297c4
15ba11450
hex7ec96c0

132945600 has 84 divisors (see below), whose sum is σ = 436188104. Its totient is φ = 35450880.

The previous prime is 132945587. The next prime is 132945611. The reversal of 132945600 is 6549231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9049 + ... + 18648.

Almost surely, 2132945600 is an apocalyptic number.

132945600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132945600 is an abundant number, since it is smaller than the sum of its proper divisors (303242504).

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

132945600 is a wasteful number, since it uses less digits than its factorization.

132945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27722 (or 27707 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 132945600 is about 11530.2038143304. The cubic root of 132945600 is about 510.3772679479.

The spelling of 132945600 in words is "one hundred thirty-two million, nine hundred forty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 27697 55394 83091 110788 138485 166182 221576 276970 332364 415455 443152 553940 664728 692425 830910 886304 1107880 1329456 1384850 1661820 1772608 2077275 2215760 2658912 2769700 3323640 4154550 4431520 5317824 5539400 6647280 8309100 8863040 11078800 13294560 16618200 22157600 26589120 33236400 44315200 66472800 132945600