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132360000 = 263541103
BaseRepresentation
bin1111110001110…
…10011101000000
3100020001120210020
413320322131000
5232341010000
621044533440
73165020133
oct770723500
9306046706
10132360000
1168794033
12383b1280
1321563a36
141381621a
15b947ba0
hex7e3a740

132360000 has 140 divisors (see below), whose sum is σ = 438009792. Its totient is φ = 35264000.

The previous prime is 132359971. The next prime is 132360001. The reversal of 132360000 is 63231.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132360001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119449 + ... + 120551.

Almost surely, 2132360000 is an apocalyptic number.

132360000 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 132360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219004896).

132360000 is an abundant number, since it is smaller than the sum of its proper divisors (305649792).

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

132360000 is an equidigital number, since it uses as much as digits as its factorization.

132360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132360000 is about 11504.7816146157. The cubic root of 132360000 is about 509.6267934754.

The spelling of 132360000 in words is "one hundred thirty-two million, three hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1103 1200 1250 1500 1600 1875 2000 2206 2400 2500 3000 3309 3750 4000 4412 4800 5000 5515 6000 6618 7500 8000 8824 10000 11030 12000 13236 15000 16545 17648 20000 22060 24000 26472 27575 30000 33090 35296 40000 44120 52944 55150 60000 66180 70592 82725 88240 105888 110300 120000 132360 137875 165450 176480 211776 220600 264720 275750 330900 352960 413625 441200 529440 551500 661800 689375 827250 882400 1058880 1103000 1323600 1378750 1654500 1764800 2068125 2206000 2647200 2757500 3309000 4136250 4412000 5294400 5515000 6618000 8272500 8824000 11030000 13236000 16545000 22060000 26472000 33090000 44120000 66180000 132360000