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132624660 = 223571092897
BaseRepresentation
bin1111110011110…
…11000100010100
3100020120000211110
413321323010110
5232422442120
621054335020
73200201550
oct771730424
9306500743
10132624660
1168954963
12384ba470
132162733c
1413884860
15b99b2e0
hex7e7b114

132624660 has 96 divisors (see below), whose sum is σ = 428440320. Its totient is φ = 30025728.

The previous prime is 132624649. The next prime is 132624677. The reversal of 132624660 is 66426231.

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, 44332 + ... + 47228.

It is an arithmetic number, because the mean of its divisors is an integer number (4462920).

Almost surely, 2132624660 is an apocalyptic number.

132624660 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 132624660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214220160).

132624660 is an abundant number, since it is smaller than the sum of its proper divisors (295815660).

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

132624660 is a wasteful number, since it uses less digits than its factorization.

132624660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 132624660 is about 11516.2780445767. The cubic root of 132624660 is about 509.9662415179.

The spelling of 132624660 in words is "one hundred thirty-two million, six hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 327 420 436 545 654 763 1090 1308 1526 1635 2180 2289 2897 3052 3270 3815 4578 5794 6540 7630 8691 9156 11445 11588 14485 15260 17382 20279 22890 28970 34764 40558 43455 45780 57940 60837 81116 86910 101395 121674 173820 202790 243348 304185 315773 405580 608370 631546 947319 1216740 1263092 1578865 1894638 2210411 3157730 3789276 4420822 4736595 6315460 6631233 8841644 9473190 11052055 13262466 18946380 22104110 26524932 33156165 44208220 66312330 132624660