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132835890 = 235113831051
BaseRepresentation
bin1111110101011…
…10101000110010
3100020221202120210
413322232220302
5233001222030
621103044550
73202041435
oct772565062
9306852523
10132835890
1168a89630
12385a0756
132169c525
14138db81c
15b9ddbb0
hex7eaea32

132835890 has 64 divisors (see below), whose sum is σ = 349028352. Its totient is φ = 32088000.

The previous prime is 132835889. The next prime is 132835891. The reversal of 132835890 is 98538231.

It is an interprime number because it is at equal distance from previous prime (132835889) and next prime (132835891).

It is not an unprimeable number, because it can be changed into a prime (132835891) 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, 125865 + ... + 126915.

It is an arithmetic number, because the mean of its divisors is an integer number (5453568).

Almost surely, 2132835890 is an apocalyptic number.

132835890 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 132835890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174514176).

132835890 is an abundant number, since it is smaller than the sum of its proper divisors (216192462).

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

132835890 is a wasteful number, since it uses less digits than its factorization.

132835890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 132835890 is about 11525.4453276218. The cubic root of 132835890 is about 510.2368373268.

The spelling of 132835890 in words is "one hundred thirty-two million, eight hundred thirty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 383 766 1051 1149 1915 2102 2298 3153 3830 4213 5255 5745 6306 8426 10510 11490 11561 12639 15765 21065 23122 25278 31530 34683 42130 57805 63195 69366 115610 126390 173415 346830 402533 805066 1207599 2012665 2415198 4025330 4427863 6037995 8855726 12075990 13283589 22139315 26567178 44278630 66417945 132835890