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132381704 = 23713475373
BaseRepresentation
bin1111110001111…
…11110000001000
3100020002200120002
413320333300020
5232342203304
621045222132
73165140330
oct770776010
9306080502
10132381704
11687a9374
1238401948
1321570890
14138200c0
15b94e31e
hex7e3fc08

132381704 has 128 divisors (see below), whose sum is σ = 322237440. Its totient is φ = 49600512.

The previous prime is 132381673. The next prime is 132381827. The reversal of 132381704 is 407183231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813412 + ... + 1813484.

It is an arithmetic number, because the mean of its divisors is an integer number (2517480).

Almost surely, 2132381704 is an apocalyptic number.

132381704 is a gapful number since it is divisible by the number (14) 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 132381704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

132381704 is an abundant number, since it is smaller than the sum of its proper divisors (189855736).

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

132381704 is a wasteful number, since it uses less digits than its factorization.

132381704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 132381704 is about 11505.7248359241. The cubic root of 132381704 is about 509.6546476493.

The spelling of 132381704 in words is "one hundred thirty-two million, three hundred eighty-one thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 47 52 53 56 73 91 94 104 106 146 182 188 212 292 329 364 371 376 424 511 584 611 658 689 728 742 949 1022 1222 1316 1378 1484 1898 2044 2444 2491 2632 2756 2968 3431 3796 3869 4088 4277 4823 4888 4982 5512 6643 6862 7592 7738 8554 9646 9964 13286 13724 15476 17108 17437 19292 19928 24017 26572 27083 27448 30952 32383 34216 34874 38584 44603 48034 50297 53144 54166 64766 69748 89206 96068 100594 108332 129532 139496 178412 181843 192136 201188 216664 226681 259064 312221 352079 356824 363686 402376 453362 624442 704158 727372 906724 1248884 1272901 1408316 1454744 1813448 2363959 2497768 2545802 2816632 4727918 5091604 9455836 10183208 16547713 18911672 33095426 66190852 132381704