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132061050 = 23352118893
BaseRepresentation
bin1111101111100…
…01011101111010
3100012111101201000
413313301131322
5232301423200
621034305430
73162333432
oct767613572
9305441630
10132061050
11685aa470
1238288276
132148a944
14137792c2
15b8d9300
hex7df177a

132061050 has 96 divisors (see below), whose sum is σ = 397028160. Its totient is φ = 32011200.

The previous prime is 132061037. The next prime is 132061063. The reversal of 132061050 is 50160231.

132061050 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 610 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (132061037) and next prime (132061063).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10404 + ... + 19296.

It is an arithmetic number, because the mean of its divisors is an integer number (4135710).

Almost surely, 2132061050 is an apocalyptic number.

132061050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132061050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198514080).

132061050 is an abundant number, since it is smaller than the sum of its proper divisors (264967110).

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

132061050 is a wasteful number, since it uses less digits than its factorization.

132061050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132061050 is about 11491.7818461716. The cubic root of 132061050 is about 509.2428210362.

The spelling of 132061050 in words is "one hundred thirty-two million, sixty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 8893 14850 17786 26679 44465 53358 80037 88930 97823 133395 160074 195646 222325 240111 266790 293469 400185 444650 480222 489115 586938 666975 800370 880407 978230 1200555 1333950 1467345 1760814 2000925 2401110 2445575 2641221 2934690 4001850 4402035 4891150 5282442 6002775 7336725 8804070 12005550 13206105 14673450 22010175 26412210 44020350 66030525 132061050