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149901240 = 233517197373
BaseRepresentation
bin10001110111101…
…00111110111000
3101110001202211210
420323310332320
5301333314430
622512523120
73500065566
oct1073647670
9343052753
10149901240
1177685025
12422504a0
1325095c78
1415ca0a36
15d2602b0
hex8ef4fb8

149901240 has 128 divisors (see below), whose sum is σ = 479856960. Its totient is φ = 37330944.

The previous prime is 149901239. The next prime is 149901247. The reversal of 149901240 is 42109941.

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

It is a junction number, because it is equal to n+sod(n) for n = 149901198 and 149901207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149901247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401694 + ... + 402066.

Almost surely, 2149901240 is an apocalyptic number.

149901240 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 149901240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239928480).

149901240 is an abundant number, since it is smaller than the sum of its proper divisors (329955720).

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

149901240 is a wasteful number, since it uses less digits than its factorization.

149901240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 149901240 is about 12243.4161899365. The cubic root of 149901240 is about 531.2126499231.

The spelling of 149901240 in words is "one hundred forty-nine million, nine hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 197 204 255 340 373 394 408 510 591 680 746 788 985 1020 1119 1182 1492 1576 1865 1970 2040 2238 2364 2955 2984 3349 3730 3940 4476 4728 5595 5910 6341 6698 7460 7880 8952 10047 11190 11820 12682 13396 14920 16745 19023 20094 22380 23640 25364 26792 31705 33490 38046 40188 44760 50235 50728 63410 66980 73481 76092 80376 95115 100470 126820 133960 146962 152184 190230 200940 220443 253640 293924 367405 380460 401880 440886 587848 734810 760920 881772 1102215 1249177 1469620 1763544 2204430 2498354 2939240 3747531 4408860 4996708 6245885 7495062 8817720 9993416 12491770 14990124 18737655 24983540 29980248 37475310 49967080 74950620 149901240