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132888990 = 235131272683
BaseRepresentation
bin1111110101110…
…11100110011110
3100021001110102110
413322323212132
5233004421430
621104134450
73202352313
oct772734636
9307043373
10132888990
1169015513
1238607426
13216ba750
1413912d0a
15b9ee7b0
hex7ebb99e

132888990 has 64 divisors (see below), whose sum is σ = 346300416. Its totient is φ = 32441472.

The previous prime is 132888979. The next prime is 132888997. The reversal of 132888990 is 99888231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132888997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48189 + ... + 50871.

It is an arithmetic number, because the mean of its divisors is an integer number (5410944).

Almost surely, 2132888990 is an apocalyptic number.

132888990 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 132888990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173150208).

132888990 is an abundant number, since it is smaller than the sum of its proper divisors (213411426).

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

132888990 is a wasteful number, since it uses less digits than its factorization.

132888990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833.

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 132888990 is about 11527.7486960811. The cubic root of 132888990 is about 510.3048158596.

The spelling of 132888990 in words is "one hundred thirty-two million, eight hundred eighty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 195 254 381 390 635 762 1270 1651 1905 2683 3302 3810 4953 5366 8049 8255 9906 13415 16098 16510 24765 26830 34879 40245 49530 69758 80490 104637 174395 209274 340741 348790 523185 681482 1022223 1046370 1703705 2044446 3407410 4429633 5111115 8859266 10222230 13288899 22148165 26577798 44296330 66444495 132888990