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149298120 = 23335138239
BaseRepresentation
bin10001110011000…
…01101111001000
3101101221010112000
420321201233020
5301210014440
622451551000
73462004326
oct1071415710
9341833460
10149298120
1177302984
1241bbb460
1324c145aa
1415b84d16
15d191730
hex8e61bc8

149298120 has 64 divisors (see below), whose sum is σ = 497664000. Its totient is φ = 39812544.

The previous prime is 149298113. The next prime is 149298157. The reversal of 149298120 is 21892941.

It is a super-3 number, since 3×1492981203 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68040 + ... + 70199.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2149298120 is an apocalyptic number.

149298120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149298120 is an abundant number, since it is smaller than the sum of its proper divisors (348365880).

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

149298120 is a wasteful number, since it uses less digits than its factorization.

149298120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138259 (or 138249 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149298120 is about 12218.7609846498. The cubic root of 149298120 is about 530.4992566235.

The spelling of 149298120 in words is "one hundred forty-nine million, two hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 138239 276478 414717 552956 691195 829434 1105912 1244151 1382390 1658868 2073585 2488302 2764780 3317736 3732453 4147170 4976604 5529560 6220755 7464906 8294340 9953208 12441510 14929812 16588680 18662265 24883020 29859624 37324530 49766040 74649060 149298120