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149767380 = 22345747281
BaseRepresentation
bin10001110110101…
…00010011010100
3101102210222020000
420323110103110
5301320024010
622510011300
73466000410
oct1073242324
9342728200
10149767380
11775a34a4
12421a6b30
132504a069
1415c67d40
15d2357c0
hex8ed44d4

149767380 has 240 divisors, whose sum is σ = 550319616. Its totient is φ = 33384960.

The previous prime is 149767369. The next prime is 149767381. The reversal of 149767380 is 83767941.

It is a super-2 number, since 2×1497673802 = 44860536224128800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149767381) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 532840 + ... + 533120.

Almost surely, 2149767380 is an apocalyptic number.

149767380 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 149767380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275159808).

149767380 is an abundant number, since it is smaller than the sum of its proper divisors (400552236).

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

149767380 is a wasteful number, since it uses less digits than its factorization.

149767380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 149767380 is about 12237.9483574658. The cubic root of 149767380 is about 531.0544806688.

The spelling of 149767380 in words is "one hundred forty-nine million, seven hundred sixty-seven thousand, three hundred eighty".