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149440140 = 2235597317
BaseRepresentation
bin10001110100001…
…00011010001100
3101102012100100000
420322010122030
5301224041030
622455004300
73463135353
oct1072043214
9342170300
10149440140
117739a653
1242069690
1324c64125
1415bc099a
15d1bd860
hex8e8468c

149440140 has 144 divisors (see below), whose sum is σ = 476435232. Its totient is φ = 39315456.

The previous prime is 149440069. The next prime is 149440141. The reversal of 149440140 is 41044941.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (149440141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471262 + ... + 471578.

It is an arithmetic number, because the mean of its divisors is an integer number (3308578).

Almost surely, 2149440140 is an apocalyptic number.

149440140 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 149440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238217616).

149440140 is an abundant number, since it is smaller than the sum of its proper divisors (326995092).

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

149440140 is a wasteful number, since it uses less digits than its factorization.

149440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 149440140 is about 12224.5711581225. The cubic root of 149440140 is about 530.6674159803.

The spelling of 149440140 in words is "one hundred forty-nine million, four hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 243 270 291 317 324 388 405 485 486 540 582 634 810 873 951 970 972 1164 1215 1268 1455 1585 1620 1746 1902 1940 2430 2619 2853 2910 3170 3492 3804 4365 4755 4860 5238 5706 5820 6340 7857 8559 8730 9510 10476 11412 13095 14265 15714 17118 17460 19020 23571 25677 26190 28530 30749 31428 34236 39285 42795 47142 51354 52380 57060 61498 77031 78570 85590 92247 94284 102708 117855 122996 128385 153745 154062 157140 171180 184494 235710 256770 276741 307490 308124 368988 385155 461235 471420 513540 553482 614980 770310 830223 922470 1106964 1383705 1540620 1660446 1844940 2490669 2767410 3320892 4151115 4981338 5534820 7472007 8302230 9962676 12453345 14944014 16604460 24906690 29888028 37360035 49813380 74720070 149440140