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149514820 = 225713113727
BaseRepresentation
bin10001110100101…
…10101001000100
3101102100010202221
420322112221010
5301233433240
622500342124
73463566160
oct1072265104
9342303687
10149514820
1177440774
12420a4944
1324c8c110
1415bddca0
15d1d5a4a
hex8e96a44

149514820 has 96 divisors (see below), whose sum is σ = 390394368. Its totient is φ = 46835712.

The previous prime is 149514803. The next prime is 149514821. The reversal of 149514820 is 28415941.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (149514821) 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, 205297 + ... + 206023.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2149514820 is an apocalyptic number.

149514820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149514820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

149514820 is an abundant number, since it is smaller than the sum of its proper divisors (240879548).

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

149514820 is a wasteful number, since it uses less digits than its factorization.

149514820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 149514820 is about 12227.6252804868. The cubic root of 149514820 is about 530.7557983987.

The spelling of 149514820 in words is "one hundred forty-nine million, five hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 113 130 140 182 226 260 364 452 455 565 727 791 910 1130 1454 1469 1582 1820 2260 2908 2938 3164 3635 3955 5089 5876 7270 7345 7910 9451 10178 10283 14540 14690 15820 18902 20356 20566 25445 29380 37804 41132 47255 50890 51415 66157 82151 94510 101780 102830 132314 164302 189020 205660 264628 328604 330785 410755 575057 661570 821510 1067963 1150114 1323140 1643020 2135926 2300228 2875285 4271852 5339815 5750570 7475741 10679630 11501140 14951482 21359260 29902964 37378705 74757410 149514820