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132721500 = 22353233847
BaseRepresentation
bin1111110100100…
…10101101011100
3100020201221200010
413322102231130
5232434042000
621100403220
73201054102
oct772225534
9306657603
10132721500
1168a1069a
1238546510
132165c442
14138abc72
15b9b9d50
hex7e92b5c

132721500 has 96 divisors (see below), whose sum is σ = 403393536. Its totient is φ = 33844800.

The previous prime is 132721489. The next prime is 132721531. The reversal of 132721500 is 5127231.

It is a super-2 number, since 2×1327215002 = 35229993124500000, 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 31 ways as a sum of consecutive naturals, for example, 32577 + ... + 36423.

It is an arithmetic number, because the mean of its divisors is an integer number (4202016).

Almost surely, 2132721500 is an apocalyptic number.

132721500 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 132721500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201696768).

132721500 is an abundant number, since it is smaller than the sum of its proper divisors (270672036).

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

132721500 is a wasteful number, since it uses less digits than its factorization.

132721500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 132721500 is about 11520.4817607598. The cubic root of 132721500 is about 510.0903338641.

Adding to 132721500 its reverse (5127231), we get a palindrome (137848731).

The spelling of 132721500 in words is "one hundred thirty-two million, seven hundred twenty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 276 300 345 375 460 500 575 690 750 1150 1380 1500 1725 2300 2875 3450 3847 5750 6900 7694 8625 11500 11541 15388 17250 19235 23082 34500 38470 46164 57705 76940 88481 96175 115410 176962 192350 230820 265443 288525 353924 384700 442405 480875 530886 577050 884810 961750 1061772 1154100 1327215 1442625 1769620 1923500 2212025 2654430 2885250 4424050 5308860 5770500 6636075 8848100 11060125 13272150 22120250 26544300 33180375 44240500 66360750 132721500