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149190600 = 233521331617
BaseRepresentation
bin10001110010001…
…11011111001000
3101101201200000210
420321013133020
5301143044400
622445401120
73461046006
oct1071073710
9341650023
10149190600
117723a119
1241b691a0
1324ba7680
1415b57a76
15d16e950
hex8e477c8

149190600 has 192 divisors, whose sum is σ = 514967040. Its totient is φ = 35481600.

The previous prime is 149190563. The next prime is 149190617. The reversal of 149190600 is 6091941.

149190600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 241492 + ... + 242108.

It is an arithmetic number, because the mean of its divisors is an integer number (2682120).

Almost surely, 2149190600 is an apocalyptic number.

149190600 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 149190600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257483520).

149190600 is an abundant number, since it is smaller than the sum of its proper divisors (365776440).

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

149190600 is a wasteful number, since it uses less digits than its factorization.

149190600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 149190600 is about 12214.3604007742. The cubic root of 149190600 is about 530.3718761890.

The spelling of 149190600 in words is "one hundred forty-nine million, one hundred ninety thousand, six hundred".