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149806080 = 2103253251
BaseRepresentation
bin10001110110111…
…01110000000000
3101102212221022100
420323131300000
5301322243310
622510510400
73466221264
oct1073356000
9342787270
10149806080
117761a586
1242205400
1325061868
1415c780a4
15d241ec0
hex8eddc00

149806080 has 132 divisors (see below), whose sum is σ = 519233832. Its totient is φ = 39936000.

The previous prime is 149806079. The next prime is 149806117. The reversal of 149806080 is 80608941.

It is a happy number.

149806080 is a `hidden beast` number, since 1 + 49 + 8 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 44455 + ... + 47705.

Almost surely, 2149806080 is an apocalyptic number.

149806080 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 149806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259616916).

149806080 is an abundant number, since it is smaller than the sum of its proper divisors (369427752).

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

149806080 is a wasteful number, since it uses less digits than its factorization.

149806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 149806080 is about 12239.5294027181. The cubic root of 149806080 is about 531.1002183509.

The spelling of 149806080 in words is "one hundred forty-nine million, eight hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3251 3840 4608 5120 5760 6502 7680 9216 9753 11520 13004 15360 16255 19506 23040 26008 29259 32510 39012 46080 48765 52016 58518 65020 78024 97530 104032 117036 130040 146295 156048 195060 208064 234072 260080 292590 312096 390120 416128 468144 520160 585180 624192 780240 832256 936288 1040320 1170360 1248384 1560480 1664512 1872576 2080640 2340720 2496768 3120960 3329024 3745152 4161280 4681440 4993536 6241920 7490304 8322560 9362880 9987072 12483840 14980608 16645120 18725760 24967680 29961216 37451520 49935360 74903040 149806080