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132663630 = 23511735507
BaseRepresentation
bin1111110100001…
…00100101001110
3100020122000021210
413322010211032
5232430214010
621055235250
73200423301
oct772044516
9306560253
10132663630
1168981170
1238518b26
132163bcb8
1413894b38
15b9a7b20
hex7e8494e

132663630 has 64 divisors (see below), whose sum is σ = 352159488. Its totient is φ = 31714560.

The previous prime is 132663613. The next prime is 132663637. The reversal of 132663630 is 36366231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132663637) 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, 21337 + ... + 26843.

It is an arithmetic number, because the mean of its divisors is an integer number (5502492).

Almost surely, 2132663630 is an apocalyptic number.

132663630 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 132663630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176079744).

132663630 is an abundant number, since it is smaller than the sum of its proper divisors (219495858).

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

132663630 is a wasteful number, since it uses less digits than its factorization.

132663630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601.

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 132663630 is about 11517.9698732025. The cubic root of 132663630 is about 510.0161855686.

The spelling of 132663630 in words is "one hundred thirty-two million, six hundred sixty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 2190 2409 4015 4818 5507 8030 11014 12045 16521 24090 27535 33042 55070 60577 82605 121154 165210 181731 302885 363462 402011 605770 804022 908655 1206033 1817310 2010055 2412066 4020110 4422121 6030165 8844242 12060330 13266363 22110605 26532726 44221210 66331815 132663630