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149694480 = 24345131777
BaseRepresentation
bin10001110110000…
…10100000010000
3101102200021020000
420323002200100
5301310210410
622504250000
73465245025
oct1073024020
9342607200
10149694480
1177553751
1242170900
1325022b20
1415c4954c
15d21ddc0
hex8ec2810

149694480 has 200 divisors, whose sum is σ = 560219352. Its totient is φ = 36827136.

The previous prime is 149694437. The next prime is 149694497. The reversal of 149694480 is 84496941.

149694480 is a `hidden beast` number, since 149 + 69 + 448 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 147185424 = 1584^2 + 12132^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83352 + ... + 85128.

Almost surely, 2149694480 is an apocalyptic number.

149694480 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 149694480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280109676).

149694480 is an abundant number, since it is smaller than the sum of its proper divisors (410524872).

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

149694480 is a wasteful number, since it uses less digits than its factorization.

149694480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 149694480 is about 12234.9695545187. The cubic root of 149694480 is about 530.9683022350.

The spelling of 149694480 in words is "one hundred forty-nine million, six hundred ninety-four thousand, four hundred eighty".