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132094336 = 2711234079
BaseRepresentation
bin1111101111110…
…01100110000000
3100012120002100211
413313321212000
5232304004321
621035123504
73162532453
oct767714600
9305502324
10132094336
1168622480
12382a3594
132149cb3a
141378749a
15b8e40e1
hex7df9980

132094336 has 64 divisors (see below), whose sum is σ = 299635200. Its totient is φ = 57418240.

The previous prime is 132094331. The next prime is 132094349. The reversal of 132094336 is 633490231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132094298 and 132094307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132094331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30345 + ... + 34423.

It is an arithmetic number, because the mean of its divisors is an integer number (4681800).

Almost surely, 2132094336 is an apocalyptic number.

132094336 is a gapful number since it is divisible by the number (16) 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 132094336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

132094336 is an abundant number, since it is smaller than the sum of its proper divisors (167540864).

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

132094336 is a wasteful number, since it uses less digits than its factorization.

132094336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 132094336 is about 11493.2300072695. The cubic root of 132094336 is about 509.2856023423.

The spelling of 132094336 in words is "one hundred thirty-two million, ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 4079 8096 8158 16192 16316 32384 32632 44869 65264 89738 93817 130528 179476 187634 261056 358952 375268 522112 717904 750536 1031987 1435808 1501072 2063974 2871616 3002144 4127948 5743232 6004288 8255896 12008576 16511792 33023584 66047168 132094336