Search a number
-
+
132055860 = 223553131317
BaseRepresentation
bin1111101111100…
…00001100110100
3100012111010120210
413313300030310
5232301241420
621034225420
73162312336
oct767601464
9305433523
10132055860
11685a6582
1238285270
1321488481
1413777456
15b8d79e0
hex7df0334

132055860 has 96 divisors (see below), whose sum is σ = 380806272. Its totient is φ = 34178560.

The previous prime is 132055841. The next prime is 132055873. The reversal of 132055860 is 68550231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 416422 + ... + 416738.

It is an arithmetic number, because the mean of its divisors is an integer number (3966732).

Almost surely, 2132055860 is an apocalyptic number.

132055860 is a gapful number since it is divisible by the number (10) 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 132055860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190403136).

132055860 is an abundant number, since it is smaller than the sum of its proper divisors (248750412).

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

132055860 is a wasteful number, since it uses less digits than its factorization.

132055860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 132055860 is about 11491.5560304077. The cubic root of 132055860 is about 509.2361498669.

The spelling of 132055860 in words is "one hundred thirty-two million, fifty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 131 159 212 262 265 317 318 393 524 530 634 636 655 786 795 951 1060 1268 1310 1572 1585 1590 1902 1965 2620 3170 3180 3804 3930 4755 6340 6943 7860 9510 13886 16801 19020 20829 27772 33602 34715 41527 41658 50403 67204 69430 83054 83316 84005 100806 104145 124581 138860 166108 168010 201612 207635 208290 249162 252015 336020 415270 416580 498324 504030 622905 830540 1008060 1245810 2200931 2491620 4401862 6602793 8803724 11004655 13205586 22009310 26411172 33013965 44018620 66027930 132055860