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132309996 = 223721319911
BaseRepresentation
bin1111110001011…
…10001111101100
3100012222001012020
413320232033230
5232332404441
621043510140
73164421300
oct770561754
9305861166
10132309996
116875a505
1238388350
1321547050
1413801d00
15b937e66
hex7e2e3ec

132309996 has 144 divisors (see below), whose sum is σ = 407554560. Its totient is φ = 33022080.

The previous prime is 132309979. The next prime is 132310019. The reversal of 132309996 is 699903231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144781 + ... + 145691.

It is an arithmetic number, because the mean of its divisors is an integer number (2830240).

Almost surely, 2132309996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132309996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203777280).

132309996 is an abundant number, since it is smaller than the sum of its proper divisors (275244564).

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

132309996 is a wasteful number, since it uses less digits than its factorization.

132309996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 132309996 is about 11502.6082259634. The cubic root of 132309996 is about 509.5626084548.

The spelling of 132309996 in words is "one hundred thirty-two million, three hundred nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 911 931 988 1092 1274 1482 1596 1729 1822 1862 1911 2548 2733 2793 2964 3458 3644 3724 3822 5187 5466 5586 6377 6916 7644 10374 10932 11172 11843 12103 12754 17309 19131 20748 23686 24206 25508 34618 35529 36309 38262 44639 47372 48412 51927 69236 71058 72618 76524 82901 89278 103854 121163 133917 142116 145236 165802 178556 207708 225017 242326 248703 267834 331604 363489 450034 484652 497406 535668 580307 675051 726978 848141 900068 994812 1160614 1350102 1453956 1575119 1696282 1740921 2321228 2544423 2700204 3150238 3392564 3481842 4725357 5088846 6300476 6963684 9450714 10177692 11025833 18901428 22051666 33077499 44103332 66154998 132309996