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149069760 = 2635723169
BaseRepresentation
bin10001110001010…
…01111111000000
3101101111112021020
420320221333000
5301130213020
622443025440
73460033500
oct1070517700
9341445236
10149069760
1177167354
1241b0b280
1324b64678
1415b25a00
15d148c40
hex8e29fc0

149069760 has 168 divisors, whose sum is σ = 550743120. Its totient is φ = 34062336.

The previous prime is 149069741. The next prime is 149069771. The reversal of 149069760 is 67960941.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45456 + ... + 48624.

Almost surely, 2149069760 is an apocalyptic number.

149069760 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 149069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275371560).

149069760 is an abundant number, since it is smaller than the sum of its proper divisors (401673360).

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

149069760 is a wasteful number, since it uses less digits than its factorization.

149069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 149069760 is about 12209.4127622912. The cubic root of 149069760 is about 530.2286423011.

The spelling of 149069760 in words is "one hundred forty-nine million, sixty-nine thousand, seven hundred sixty".