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132101632 = 291389223
BaseRepresentation
bin1111101111110…
…11011000000000
3100012120110101001
413313323120000
5232304223012
621035221344
73162562645
oct767733000
9305513331
10132101632
1168627a03
12382a7854
13214a3260
1413789dcc
15b8e6357
hex7dfb600

132101632 has 80 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 60014592.

The previous prime is 132101609. The next prime is 132101647. The reversal of 132101632 is 236101231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592273 + ... + 592495.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2132101632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

132101632 is an abundant number, since it is smaller than the sum of its proper divisors (156629888).

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

132101632 is an equidigital number, since it uses as much as digits as its factorization.

132101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 132101632 is about 11493.5474071324. The cubic root of 132101632 is about 509.2949786700.

Adding to 132101632 its reverse (236101231), we get a palindrome (368202863).

The spelling of 132101632 in words is "one hundred thirty-two million, one hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 223 256 356 416 446 512 712 832 892 1157 1424 1664 1784 2314 2848 2899 3328 3568 4628 5696 5798 6656 7136 9256 11392 11596 14272 18512 19847 22784 23192 28544 37024 39694 45568 46384 57088 74048 79388 92768 114176 148096 158776 185536 258011 296192 317552 371072 516022 592384 635104 742144 1032044 1270208 1484288 2064088 2540416 4128176 5080832 8256352 10161664 16512704 33025408 66050816 132101632