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132058128 = 24397113251
BaseRepresentation
bin1111101111100…
…00110000010000
3100012111020200210
413313300300100
5232301330003
621034244120
73162322056
oct767606020
9305436623
10132058128
11685a8254
1238286640
1321489507
14137781d6
15b8d8503
hex7df0c10

132058128 has 80 divisors (see below), whose sum is σ = 349102656. Its totient is φ = 43008000.

The previous prime is 132058103. The next prime is 132058133. The reversal of 132058128 is 821850231.

It is a junction number, because it is equal to n+sod(n) for n = 132058095 and 132058104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526003 + ... + 526253.

Almost surely, 2132058128 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 132058128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174551328).

132058128 is an abundant number, since it is smaller than the sum of its proper divisors (217044528).

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

132058128 is a wasteful number, since it uses less digits than its factorization.

132058128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 132058128 is about 11491.6547111371. The cubic root of 132058128 is about 509.2390651508.

The spelling of 132058128 in words is "one hundred thirty-two million, fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 113 194 226 251 291 339 388 452 502 582 678 753 776 904 1004 1164 1356 1506 1552 1808 2008 2328 2712 3012 4016 4656 5424 6024 10961 12048 21922 24347 28363 32883 43844 48694 56726 65766 73041 85089 87688 97388 113452 131532 146082 170178 175376 194776 226904 263064 292164 340356 389552 453808 526128 584328 680712 1168656 1361424 2751211 5502422 8253633 11004844 16507266 22009688 33014532 44019376 66029064 132058128