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149420880 = 243257231289
BaseRepresentation
bin10001110011111…
…11101101010000
3101102011100220200
420321333231100
5301222432010
622454335200
73463025250
oct1071775520
9342140820
10149420880
1177387134
124205a500
1324c5842b
1415bb7960
15d1b7cc0
hex8e7fb50

149420880 has 240 divisors, whose sum is σ = 598890240. Its totient is φ = 32643072.

The previous prime is 149420867. The next prime is 149420881. The reversal of 149420880 is 88024941.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149420881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115276 + ... + 116564.

It is an arithmetic number, because the mean of its divisors is an integer number (2495376).

Almost surely, 2149420880 is an apocalyptic number.

149420880 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 149420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299445120).

149420880 is an abundant number, since it is smaller than the sum of its proper divisors (449469360).

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

149420880 is a wasteful number, since it uses less digits than its factorization.

149420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 149420880 is about 12223.7833750439. The cubic root of 149420880 is about 530.6446173455.

The spelling of 149420880 in words is "one hundred forty-nine million, four hundred twenty thousand, eight hundred eighty".