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149810720 = 255412557
BaseRepresentation
bin10001110110111…
…10111000100000
3101102220011200012
420323132320200
5301322420340
622510544052
73466240643
oct1073367040
9342804605
10149810720
1177623014
1242208028
13250639c7
1415c79a5a
15d243565
hex8edee20

149810720 has 72 divisors (see below), whose sum is σ = 363422052. Its totient is φ = 58357760.

The previous prime is 149810699. The next prime is 149810737. The reversal of 149810720 is 27018941.

149810720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1263376 + 148547344 = 1124^2 + 12188^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268682 + ... + 269238.

Almost surely, 2149810720 is an apocalyptic number.

149810720 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 149810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181711026).

149810720 is an abundant number, since it is smaller than the sum of its proper divisors (213611332).

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

149810720 is an equidigital number, since it uses as much as digits as its factorization.

149810720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 149810720 is about 12239.7189510217. The cubic root of 149810720 is about 531.1057016165.

The spelling of 149810720 in words is "one hundred forty-nine million, eight hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 557 656 820 1114 1312 1640 1681 2228 2785 3280 3362 4456 5570 6560 6724 8405 8912 11140 13448 16810 17824 22280 22837 26896 33620 44560 45674 53792 67240 89120 91348 114185 134480 182696 228370 268960 365392 456740 730784 913480 936317 1826960 1872634 3653920 3745268 4681585 7490536 9363170 14981072 18726340 29962144 37452680 74905360 149810720