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149700096 = 2933721317
BaseRepresentation
bin10001110110000…
…11111000000000
3101102200112221000
420323003320000
5301310400341
622504332000
73465300300
oct1073037000
9342615830
10149700096
1177557997
1242174000
1325025550
1415c4b600
15d2208b6
hex8ec3e00

149700096 has 480 divisors, whose sum is σ = 587774880. Its totient is φ = 37158912.

The previous prime is 149700053. The next prime is 149700137. The reversal of 149700096 is 690007941.

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

It is a self number, because there is not a number n which added to its sum of digits gives 149700096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8805880 + ... + 8805896.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 2149700096 is an apocalyptic number.

149700096 is a gapful number since it is divisible by the number (16) 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 149700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

149700096 is an abundant number, since it is smaller than the sum of its proper divisors (438074784).

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

149700096 is a wasteful number, since it uses less digits than its factorization.

149700096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149700096 is about 12235.1990584543. The cubic root of 149700096 is about 530.9749421608.

The spelling of 149700096 in words is "one hundred forty-nine million, seven hundred thousand, ninety-six".