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149046720 = 26351071451
BaseRepresentation
bin10001110001001…
…00010111000000
3101101110100122220
420320210113000
5301123443340
622442331040
73456606354
oct1070442700
9341410586
10149046720
1177151009
1241ab9a80
1324b57034
1415b1b464
15d141ed0
hex8e245c0

149046720 has 112 divisors (see below), whose sum is σ = 477975168. Its totient is φ = 39347200.

The previous prime is 149046719. The next prime is 149046721. The reversal of 149046720 is 27640941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149046719) and next prime (149046721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149046721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101995 + ... + 103445.

Almost surely, 2149046720 is an apocalyptic number.

149046720 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 149046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238987584).

149046720 is an abundant number, since it is smaller than the sum of its proper divisors (328928448).

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

149046720 is a wasteful number, since it uses less digits than its factorization.

149046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 149046720 is about 12208.4691915080. The cubic root of 149046720 is about 530.2013237773.

The spelling of 149046720 in words is "one hundred forty-nine million, forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 160 192 214 240 320 321 428 480 535 642 856 960 1070 1284 1451 1605 1712 2140 2568 2902 3210 3424 4280 4353 5136 5804 6420 6848 7255 8560 8706 10272 11608 12840 14510 17120 17412 20544 21765 23216 25680 29020 34240 34824 43530 46432 51360 58040 69648 87060 92864 102720 116080 139296 155257 174120 232160 278592 310514 348240 464320 465771 621028 696480 776285 931542 1242056 1392960 1552570 1863084 2328855 2484112 3105140 3726168 4657710 4968224 6210280 7452336 9315420 9936448 12420560 14904672 18630840 24841120 29809344 37261680 49682240 74523360 149046720