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132726552 = 23371943967
BaseRepresentation
bin1111110100100…
…11111100011000
3100020202012121020
413322103330120
5232434222202
621100442440
73201104610
oct772237430
9306665536
10132726552
1168a14472
1238549420
132166182a
14138ada40
15b9bb5bc
hex7e93f18

132726552 has 128 divisors (see below), whose sum is σ = 408883200. Its totient is φ = 35054208.

The previous prime is 132726551. The next prime is 132726563. The reversal of 132726552 is 255627231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132726551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136773 + ... + 137739.

It is an arithmetic number, because the mean of its divisors is an integer number (3194400).

Almost surely, 2132726552 is an apocalyptic number.

132726552 is a gapful number since it is divisible by the number (12) 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 132726552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204441600).

132726552 is an abundant number, since it is smaller than the sum of its proper divisors (276156648).

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

132726552 is a wasteful number, since it uses less digits than its factorization.

132726552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1041 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 132726552 is about 11520.7010203373. The cubic root of 132726552 is about 510.0968059219.

The spelling of 132726552 in words is "one hundred thirty-two million, seven hundred twenty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 43 56 57 76 84 86 114 129 133 152 168 172 228 258 266 301 344 399 456 516 532 602 798 817 903 967 1032 1064 1204 1596 1634 1806 1934 2408 2451 2901 3192 3268 3612 3868 4902 5719 5802 6536 6769 7224 7736 9804 11438 11604 13538 17157 18373 19608 20307 22876 23208 27076 34314 36746 40614 41581 45752 54152 55119 68628 73492 81228 83162 110238 124743 128611 137256 146984 162456 166324 220476 249486 257222 291067 332648 385833 440952 498972 514444 582134 771666 790039 873201 997944 1028888 1164268 1543332 1580078 1746402 2328536 2370117 3086664 3160156 3492804 4740234 5530273 6320312 6985608 9480468 11060546 16590819 18960936 22121092 33181638 44242184 66363276 132726552