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149112600 = 233527132731
BaseRepresentation
bin10001110001101…
…00011100011000
3101101120201000220
420320310130120
5301133100400
622444000040
73460302420
oct1070643430
9341521026
10149112600
117719655a
1241b30020
1324b7b010
1415b37480
15d1567a0
hex8e34718

149112600 has 192 divisors, whose sum is σ = 569130240. Its totient is φ = 31449600.

The previous prime is 149112569. The next prime is 149112617. The reversal of 149112600 is 6211941.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53235 + ... + 55965.

It is an arithmetic number, because the mean of its divisors is an integer number (2964220).

Almost surely, 2149112600 is an apocalyptic number.

149112600 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 149112600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284565120).

149112600 is an abundant number, since it is smaller than the sum of its proper divisors (420017640).

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

149112600 is a wasteful number, since it uses less digits than its factorization.

149112600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 149112600 is about 12211.1670203957. The cubic root of 149112600 is about 530.2794301994.

The spelling of 149112600 in words is "one hundred forty-nine million, one hundred twelve thousand, six hundred".