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133962390 = 23351672971
BaseRepresentation
bin1111111110000…
…01101010010110
3100100001222212000
413333001222112
5233243244030
621143140130
73214442622
oct777015226
9310058760
10133962390
1169688a21
1238a44646
13219a51b3
1413b12182
15bb62860
hex7fc1a96

133962390 has 64 divisors (see below), whose sum is σ = 359493120. Its totient is φ = 35497440.

The previous prime is 133962383. The next prime is 133962421. The reversal of 133962390 is 93269331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43605 + ... + 46575.

It is an arithmetic number, because the mean of its divisors is an integer number (5617080).

Almost surely, 2133962390 is an apocalyptic number.

133962390 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 133962390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179746560).

133962390 is an abundant number, since it is smaller than the sum of its proper divisors (225530730).

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

133962390 is a wasteful number, since it uses less digits than its factorization.

133962390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 133962390 is about 11574.2122842118. The cubic root of 133962390 is about 511.6751148337.

The spelling of 133962390 in words is "one hundred thirty-three million, nine hundred sixty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 167 270 334 501 835 1002 1503 1670 2505 2971 3006 4509 5010 5942 7515 8913 9018 14855 15030 17826 22545 26739 29710 44565 45090 53478 80217 89130 133695 160434 267390 401085 496157 802170 992314 1488471 2480785 2976942 4465413 4961570 7442355 8930826 13396239 14884710 22327065 26792478 44654130 66981195 133962390