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132066948 = 2231317192621
BaseRepresentation
bin1111101111100…
…10111010000100
3100012111200210110
413313302322010
5232302120243
621034353020
73162356556
oct767627204
9305450713
10132066948
1168603942
123828b770
1321490530
141377b4d6
15b8dae33
hex7df2e84

132066948 has 96 divisors (see below), whose sum is σ = 370016640. Its totient is φ = 36218880.

The previous prime is 132066941. The next prime is 132066953. The reversal of 132066948 is 849660231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (132066941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49078 + ... + 51698.

It is an arithmetic number, because the mean of its divisors is an integer number (3854340).

Almost surely, 2132066948 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 132066948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185008320).

132066948 is an abundant number, since it is smaller than the sum of its proper divisors (237949692).

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

132066948 is a wasteful number, since it uses less digits than its factorization.

132066948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 132066948 is about 11492.0384614741. The cubic root of 132066948 is about 509.2504020488.

The spelling of 132066948 in words is "one hundred thirty-two million, sixty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 323 442 494 646 663 741 884 969 988 1292 1326 1482 1938 2621 2652 2964 3876 4199 5242 7863 8398 10484 12597 15726 16796 25194 31452 34073 44557 49799 50388 68146 89114 99598 102219 133671 136292 149397 178228 199196 204438 267342 298794 408876 534684 579241 597588 647387 846583 1158482 1294774 1693166 1737723 1942161 2316964 2539749 2589548 3386332 3475446 3884322 5079498 6950892 7768644 10158996 11005579 22011158 33016737 44022316 66033474 132066948