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132913620 = 223257372851
BaseRepresentation
bin1111110110000…
…01100111010100
3100021002201012200
413323001213110
5233011213440
621104444500
73202514160
oct773014724
9307081180
10132913620
1169031a74
1238619730
13216c8a18
141391bca0
15ba06c30
hex7ec19d4

132913620 has 144 divisors (see below), whose sum is σ = 473386368. Its totient is φ = 29548800.

The previous prime is 132913609. The next prime is 132913631. The reversal of 132913620 is 26319231.

132913620 is a `hidden beast` number, since 1 + 3 + 29 + 13 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (132913609) and next prime (132913631).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45195 + ... + 48045.

Almost surely, 2132913620 is an apocalyptic number.

132913620 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 132913620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236693184).

132913620 is an abundant number, since it is smaller than the sum of its proper divisors (340472748).

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

132913620 is a wasteful number, since it uses less digits than its factorization.

132913620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132913620 is about 11528.8169384374. The cubic root of 132913620 is about 510.3363409974.

The spelling of 132913620 in words is "one hundred thirty-two million, nine hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 2851 3108 3330 3885 4662 5180 5702 6660 7770 8553 9324 11404 11655 14255 15540 17106 19957 23310 25659 28510 34212 39914 42765 46620 51318 57020 59871 79828 85530 99785 102636 105487 119742 128295 171060 179613 199570 210974 239484 256590 299355 316461 359226 399140 421948 513180 527435 598710 632922 718452 738409 898065 949383 1054870 1197420 1265844 1476818 1582305 1796130 1898766 2109740 2215227 2953636 3164610 3592260 3692045 3797532 4430454 4746915 6329220 6645681 7384090 8860908 9493830 11076135 13291362 14768180 18987660 22152270 26582724 33228405 44304540 66456810 132913620