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134298120 = 233511101741
BaseRepresentation
bin10000000000100…
…11101000001000
3100100201001101110
420000103220020
5233340014440
621154250320
73220341465
oct1000235010
9310631343
10134298120
1169898190
1238b869a0
1321a91c58
1413b9c66c
15bbcc080
hex8013a08

134298120 has 64 divisors (see below), whose sum is σ = 439525440. Its totient is φ = 32556800.

The previous prime is 134298097. The next prime is 134298121. The reversal of 134298120 is 21892431.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (134298121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49551 + ... + 52190.

It is an arithmetic number, because the mean of its divisors is an integer number (6867585).

Almost surely, 2134298120 is an apocalyptic number.

134298120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134298120 is an abundant number, since it is smaller than the sum of its proper divisors (305227320).

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

134298120 is a wasteful number, since it uses less digits than its factorization.

134298120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101766 (or 101762 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 134298120 is about 11588.7065714859. The cubic root of 134298120 is about 512.1022033114.

The spelling of 134298120 in words is "one hundred thirty-four million, two hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 101741 203482 305223 406964 508705 610446 813928 1017410 1119151 1220892 1526115 2034820 2238302 2441784 3052230 3357453 4069640 4476604 5595755 6104460 6714906 8953208 11191510 12208920 13429812 16787265 22383020 26859624 33574530 44766040 67149060 134298120