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149714376 = 233717193189
BaseRepresentation
bin10001110110001…
…11010111001000
3101102201021111220
420323013113020
5301311330001
622504522040
73465360030
oct1073072710
9342637456
10149714376
1177567699
1242180320
132502bbb6
1415c528c0
15d224c36
hex8ec75c8

149714376 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 36495360.

The previous prime is 149714353. The next prime is 149714387. The reversal of 149714376 is 673417941.

149714376 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 (42).

Its product of digits (127008) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682140 + ... + 1682228.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2149714376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149714376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

149714376 is an abundant number, since it is smaller than the sum of its proper divisors (347949624).

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

149714376 is a wasteful number, since it uses less digits than its factorization.

149714376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 149714376 is about 12235.7826067645. The cubic root of 149714376 is about 530.9918249847.

The spelling of 149714376 in words is "one hundred forty-nine million, seven hundred fourteen thousand, three hundred seventy-six".