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149352840 = 233257134797
BaseRepresentation
bin10001110011011…
…11000110001000
3101102000220120200
420321233012020
5301213242330
622453052200
73462323010
oct1071570610
9342026520
10149352840
117733aaaa
1242027060
1324c33480
1415b9ac40
15d1a2a60
hex8e6f188

149352840 has 384 divisors, whose sum is σ = 616412160. Its totient is φ = 30523392.

The previous prime is 149352821. The next prime is 149352877. The reversal of 149352840 is 48253941.

149352840 is a `hidden beast` number, since 1 + 4 + 93 + 528 + 40 = 666.

It is a Cunningham number, because it is equal to 122212-1.

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 149352795 and 149352804.

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 95 ways as a sum of consecutive naturals, for example, 1539672 + ... + 1539768.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2149352840 is an apocalyptic number.

149352840 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 149352840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

149352840 is an abundant number, since it is smaller than the sum of its proper divisors (467059320).

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

149352840 is a wasteful number, since it uses less digits than its factorization.

149352840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 149352840 is about 12220.9999590868. Note that the first 4 decimals coincide. The cubic root of 149352840 is about 530.5640606848.

The spelling of 149352840 in words is "one hundred forty-nine million, three hundred fifty-two thousand, eight hundred forty".