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149530800 = 243523532
BaseRepresentation
bin10001110100110…
…10100010110000
3101102100221200210
420322122202300
5301234441200
622500544120
73463663566
oct1072324260
9342327623
10149530800
1177451781
12420b2040
1324c96483
1415c05a36
15d1da650
hex8e9a8b0

149530800 has 90 divisors (see below), whose sum is σ = 480357772. Its totient is φ = 39761920.

The previous prime is 149530783. The next prime is 149530811. The reversal of 149530800 is 8035941.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423424 + ... + 423776.

Almost surely, 2149530800 is an apocalyptic number.

149530800 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 149530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240178886).

149530800 is an abundant number, since it is smaller than the sum of its proper divisors (330826972).

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

149530800 is an equidigital number, since it uses as much as digits as its factorization.

149530800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 149530800 is about 12228.2787014363. The cubic root of 149530800 is about 530.7747066147.

The spelling of 149530800 in words is "one hundred forty-nine million, five hundred thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 353 400 600 706 1059 1200 1412 1765 2118 2824 3530 4236 5295 5648 7060 8472 8825 10590 14120 16944 17650 21180 26475 28240 35300 42360 52950 70600 84720 105900 124609 141200 211800 249218 373827 423600 498436 623045 747654 996872 1246090 1495308 1869135 1993744 2492180 2990616 3115225 3738270 4984360 5981232 6230450 7476540 9345675 9968720 12460900 14953080 18691350 24921800 29906160 37382700 49843600 74765400 149530800