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149739520 = 211572089
BaseRepresentation
bin10001110110011…
…01100000000000
3101102202120000011
420323031200000
5301313131040
622505234304
73465523240
oct1073154000
9342676004
10149739520
1177584577
1242192994
132503a488
1415c5bb20
15d22c3ea
hex8ecd800

149739520 has 96 divisors (see below), whose sum is σ = 410810400. Its totient is φ = 51314688.

The previous prime is 149739449. The next prime is 149739521. The reversal of 149739520 is 25937941.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149739521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70636 + ... + 72724.

It is an arithmetic number, because the mean of its divisors is an integer number (4279275).

Almost surely, 2149739520 is an apocalyptic number.

149739520 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 149739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205405200).

149739520 is an abundant number, since it is smaller than the sum of its proper divisors (261070880).

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

149739520 is an equidigital number, since it uses as much as digits as its factorization.

149739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 149739520 is about 12236.8100418369. The cubic root of 149739520 is about 531.0215493871.

The spelling of 149739520 in words is "one hundred forty-nine million, seven hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2089 2240 2560 3584 4178 4480 5120 7168 8356 8960 10240 10445 14336 14623 16712 17920 20890 29246 33424 35840 41780 58492 66848 71680 73115 83560 116984 133696 146230 167120 233968 267392 292460 334240 467936 534784 584920 668480 935872 1069568 1169840 1336960 1871744 2139136 2339680 2673920 3743488 4278272 4679360 5347840 7486976 9358720 10695680 14973952 18717440 21391360 29947904 37434880 74869760 149739520