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149799680 = 285373163
BaseRepresentation
bin10001110110111…
…00001100000000
3101102212121112022
420323130030000
5301322042210
622510421012
73466163522
oct1073341400
9342777468
10149799680
1177615798
1242201768
132505b984
1415c75a12
15d240155
hex8edc300

149799680 has 72 divisors (see below), whose sum is σ = 368631312. Its totient is φ = 58281984.

The previous prime is 149799673. The next prime is 149799809. The reversal of 149799680 is 86997941.

149799680 = 293 + 303 + ... + 1563.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45779 + ... + 48941.

Almost surely, 2149799680 is an apocalyptic number.

149799680 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 149799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184315656).

149799680 is an abundant number, since it is smaller than the sum of its proper divisors (218831632).

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

149799680 is an equidigital number, since it uses as much as digits as its factorization.

149799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The square root of 149799680 is about 12239.2679519651. The cubic root of 149799680 is about 531.0926550402.

The spelling of 149799680 in words is "one hundred forty-nine million, seven hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2368 2960 3163 4736 5920 6326 9472 11840 12652 15815 23680 25304 31630 47360 50608 63260 101216 117031 126520 202432 234062 253040 404864 468124 506080 585155 809728 936248 1012160 1170310 1872496 2024320 2340620 3744992 4048640 4681240 7489984 9362480 14979968 18724960 29959936 37449920 74899840 149799680