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132695430 = 23572194751
BaseRepresentation
bin1111110100011…
…00010110000110
3100020200121220120
413322030112012
5232432223210
621100042410
73200615100
oct772142606
9306617816
10132695430
11689a304a
1238533406
132165060a
14138a2570
15b9b2270
hex7e8c586

132695430 has 96 divisors (see below), whose sum is σ = 390044160. Its totient is φ = 28728000.

The previous prime is 132695399. The next prime is 132695461. The reversal of 132695430 is 34596231.

It is an interprime number because it is at equal distance from previous prime (132695399) and next prime (132695461).

It is a junction number, because it is equal to n+sod(n) for n = 132695391 and 132695400.

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, 25555 + ... + 30305.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 2132695430 is an apocalyptic number.

132695430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132695430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195022080).

132695430 is an abundant number, since it is smaller than the sum of its proper divisors (257348730).

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

132695430 is a wasteful number, since it uses less digits than its factorization.

132695430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 132695430 is about 11519.3502420927. The cubic root of 132695430 is about 510.0569332827.

The spelling of 132695430 in words is "one hundred thirty-two million, six hundred ninety-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 4751 5586 9310 9502 13965 14253 23755 27930 28506 33257 47510 66514 71265 90269 99771 142530 166285 180538 199542 232799 270807 332570 451345 465598 498855 541614 631883 698397 902690 997710 1163995 1263766 1354035 1396794 1895649 2327990 2708070 3159415 3491985 3791298 4423181 6318830 6983970 8846362 9478245 13269543 18956490 22115905 26539086 44231810 66347715 132695430