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149200000 = 2755373
BaseRepresentation
bin10001110010010…
…01110010000000
3101101202010220221
420321021302000
5301143400000
622445512424
73461115265
oct1071116200
9341663827
10149200000
1177246194
1241b72714
1324baba31
1415b5b26c
15d17261a
hex8e49c80

149200000 has 96 divisors (see below), whose sum is σ = 372515220. Its totient is φ = 59520000.

The previous prime is 149199979. The next prime is 149200003. The reversal of 149200000 is 2941.

149200000 is digitally balanced in base 3, 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 15936064 + 133263936 = 3992^2 + 11544^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (149200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399814 + ... + 400186.

Almost surely, 2149200000 is an apocalyptic number.

149200000 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 149200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186257610).

149200000 is an abundant number, since it is smaller than the sum of its proper divisors (223315220).

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

149200000 is an frugal number, since it uses more digits than its factorization.

149200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 149200000 is about 12214.7451876820. The cubic root of 149200000 is about 530.3830149402.

Adding to 149200000 its reverse (2941), we get a palindrome (149202941).

The spelling of 149200000 in words is "one hundred forty-nine million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 373 400 500 625 640 746 800 1000 1250 1492 1600 1865 2000 2500 2984 3125 3200 3730 4000 5000 5968 6250 7460 8000 9325 10000 11936 12500 14920 16000 18650 20000 23872 25000 29840 37300 40000 46625 47744 50000 59680 74600 80000 93250 100000 119360 149200 186500 200000 233125 238720 298400 373000 400000 466250 596800 746000 932500 1165625 1193600 1492000 1865000 2331250 2984000 3730000 4662500 5968000 7460000 9325000 14920000 18650000 29840000 37300000 74600000 149200000