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132954690 = 235113710889
BaseRepresentation
bin1111110110010…
…11101001000010
3100021011210112210
413323023221002
5233014022230
621105402550
73203045001
oct773135102
9307153483
10132954690
116905a910
1238639456
132171161b
141392cc38
15ba13eb0
hex7ecba42

132954690 has 64 divisors (see below), whose sum is σ = 357540480. Its totient is φ = 31357440.

The previous prime is 132954673. The next prime is 132954707. The reversal of 132954690 is 96459231.

It is an interprime number because it is at equal distance from previous prime (132954673) and next prime (132954707).

It is a super-2 number, since 2×1329546902 = 35353899185992200, which contains 22 as substring.

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, 6766 + ... + 17654.

It is an arithmetic number, because the mean of its divisors is an integer number (5586570).

Almost surely, 2132954690 is an apocalyptic number.

132954690 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 132954690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770240).

132954690 is an abundant number, since it is smaller than the sum of its proper divisors (224585790).

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

132954690 is a wasteful number, since it uses less digits than its factorization.

132954690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 132954690 is about 11530.5979896968. The cubic root of 132954690 is about 510.3888998325.

The spelling of 132954690 in words is "one hundred thirty-two million, nine hundred fifty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 10889 12210 21778 32667 54445 65334 108890 119779 163335 239558 326670 359337 402893 598895 718674 805786 1197790 1208679 1796685 2014465 2417358 3593370 4028930 4431823 6043395 8863646 12086790 13295469 22159115 26590938 44318230 66477345 132954690