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149129760 = 25351323899
BaseRepresentation
bin10001110001110…
…00101000100000
3101101121120120110
420320320220200
5301134123020
622444211320
73460403433
oct1070705040
9341546513
10149129760
11771a843a
1241b39b40
1324b85a80
1415b3d81a
15d15b8e0
hex8e38a20

149129760 has 96 divisors (see below), whose sum is σ = 505915200. Its totient is φ = 36707328.

The previous prime is 149129753. The next prime is 149129807. The reversal of 149129760 is 67921941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5710 + ... + 18189.

It is an arithmetic number, because the mean of its divisors is an integer number (5269950).

Almost surely, 2149129760 is an apocalyptic number.

149129760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149129760 is an abundant number, since it is smaller than the sum of its proper divisors (356785440).

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

149129760 is a wasteful number, since it uses less digits than its factorization.

149129760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23930 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 149129760 is about 12211.8696357274. The cubic root of 149129760 is about 530.2997710827.

The spelling of 149129760 in words is "one hundred forty-nine million, one hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 23899 47798 71697 95596 119495 143394 191192 238990 286788 310687 358485 382384 477980 573576 621374 716970 764768 932061 955960 1147152 1242748 1433940 1553435 1864122 1911920 2294304 2485496 2867880 3106870 3728244 3823840 4660305 4970992 5735760 6213740 7456488 9320610 9941984 11471520 12427480 14912976 18641220 24854960 29825952 37282440 49709920 74564880 149129760