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132691900 = 225211711699
BaseRepresentation
bin1111110100010…
…11011110111100
3100020200110001211
413322023132330
5232432120100
621100014204
73200601565
oct772133674
9306613054
10132691900
11689a0430
1238531364
132164bb23
14138a116c
15b9b11ba
hex7e8b7bc

132691900 has 72 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 47544000.

The previous prime is 132691891. The next prime is 132691921. The reversal of 132691900 is 9196231.

It is a super-2 number, since 2×1326919002 = 35214280651220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77251 + ... + 78949.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2132691900 is an apocalyptic number.

132691900 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 132691900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

132691900 is an abundant number, since it is smaller than the sum of its proper divisors (186037700).

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

132691900 is a wasteful number, since it uses less digits than its factorization.

132691900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 132691900 is about 11519.1970206260. The cubic root of 132691900 is about 510.0524103514.

The spelling of 132691900 in words is "one hundred thirty-two million, six hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1699 1775 3124 3398 3550 3905 6796 7100 7810 8495 15620 16990 18689 19525 33980 37378 39050 42475 74756 78100 84950 93445 120629 169900 186890 241258 373780 467225 482516 603145 934450 1206290 1326919 1868900 2412580 2653838 3015725 5307676 6031450 6634595 12062900 13269190 26538380 33172975 66345950 132691900