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149383440 = 2434523053
BaseRepresentation
bin10001110011101…
…10100100010000
3101102002110120000
420321312210100
5301220232230
622453450000
73462511143
oct1071664420
9342073500
10149383440
1177360a98
1242040900
1324c4438b
1415ba805a
15d1abb60
hex8e76910

149383440 has 100 divisors (see below), whose sum is σ = 518853324. Its totient is φ = 39833856.

The previous prime is 149383433. The next prime is 149383441. The reversal of 149383440 is 44383941.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 64448784 = 9216^2 + 8028^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 149383395 and 149383404.

It is not an unprimeable number, because it can be changed into a prime (149383441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5047 + ... + 18006.

Almost surely, 2149383440 is an apocalyptic number.

149383440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149383440 is an abundant number, since it is smaller than the sum of its proper divisors (369469884).

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

149383440 is a wasteful number, since it uses less digits than its factorization.

149383440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23078 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 149383440 is about 12222.2518383480. The cubic root of 149383440 is about 530.6002928975.

The spelling of 149383440 in words is "one hundred forty-nine million, three hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 23053 46106 69159 92212 115265 138318 184424 207477 230530 276636 345795 368848 414954 461060 553272 622431 691590 829908 922120 1037385 1106544 1244862 1383180 1659816 1844240 1867293 2074770 2489724 2766360 3112155 3319632 3734586 4149540 4979448 5532720 6224310 7469172 8299080 9336465 9958896 12448620 14938344 16598160 18672930 24897240 29876688 37345860 49794480 74691720 149383440