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132014388 = 223112235967
BaseRepresentation
bin1111101111001…
…10000100110100
3100012102000200210
413313212010310
5232243430023
621033305420
73162050412
oct767460464
9305360623
10132014388
1168578400
1238265270
132147262c
14137662b2
15b8ca593
hex7de6134

132014388 has 144 divisors (see below), whose sum is σ = 364654080. Its totient is φ = 37055040.

The previous prime is 132014387. The next prime is 132014453. The reversal of 132014388 is 883410231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132014387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1970331 + ... + 1970397.

It is an arithmetic number, because the mean of its divisors is an integer number (2532320).

Almost surely, 2132014388 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 132014388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182327040).

132014388 is an abundant number, since it is smaller than the sum of its proper divisors (232639692).

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

132014388 is a wasteful number, since it uses less digits than its factorization.

132014388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 132014388 is about 11489.7514333427. The cubic root of 132014388 is about 509.1828359314.

It can be divided in two parts, 1320143 and 88, that added together give a palindrome (1320231).

The spelling of 132014388 in words is "one hundred thirty-two million, fourteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 59 66 67 69 92 118 121 132 134 138 177 201 236 242 253 268 276 354 363 402 484 506 649 708 726 737 759 804 1012 1298 1357 1452 1474 1518 1541 1947 2211 2596 2714 2783 2948 3036 3082 3894 3953 4071 4422 4623 5428 5566 6164 7139 7788 7906 8107 8142 8349 8844 9246 11132 11859 14278 14927 15812 16214 16284 16698 16951 18492 21417 23718 24321 28556 29854 32428 33396 33902 42834 43483 44781 47436 48642 50853 59708 67804 85668 86966 89562 90919 97284 101706 130449 164197 173932 179124 181838 186461 203412 260898 272757 328394 363676 372922 478313 492591 521796 545514 559383 656788 745844 956626 985182 1000109 1091028 1118766 1434939 1913252 1970364 2000218 2237532 2869878 3000327 4000436 5739756 6000654 11001199 12001308 22002398 33003597 44004796 66007194 132014388