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132074748 = 2232132411171
BaseRepresentation
bin1111101111101…
…00110011111100
3100012112002111100
413313310303330
5232302342443
621034453100
73162421401
oct767646374
9305462440
10132074748
1168609793
1238294190
1321493c50
14137802a8
15b8dd3d3
hex7df4cfc

132074748 has 72 divisors (see below), whose sum is σ = 361336976. Its totient is φ = 40435200.

The previous prime is 132074741. The next prime is 132074783. The reversal of 132074748 is 847470231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132074741) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 112203 + ... + 113373.

Almost surely, 2132074748 is an apocalyptic number.

132074748 is a gapful number since it is divisible by the number (18) 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 132074748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180668488).

132074748 is an abundant number, since it is smaller than the sum of its proper divisors (229262228).

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

132074748 is a wasteful number, since it uses less digits than its factorization.

132074748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 132074748 is about 11492.3778218435. The cubic root of 132074748 is about 509.2604274563.

It can be divided in two parts, 13207 and 4748, that added together give a triangular number (17955 = T189).

The spelling of 132074748 in words is "one hundred thirty-two million, seventy-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 241 468 482 723 964 1171 1446 2169 2342 2892 3133 3513 4338 4684 6266 7026 8676 9399 10539 12532 14052 15223 18798 21078 28197 30446 37596 42156 45669 56394 60892 91338 112788 137007 182676 274014 282211 548028 564422 846633 1128844 1693266 2539899 3386532 3668743 5079798 7337486 10159596 11006229 14674972 22012458 33018687 44024916 66037374 132074748