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149297400 = 233252717241
BaseRepresentation
bin10001110011000…
…01100011111000
3101101221002112100
420321201203320
5301210004100
622451543400
73462002250
oct1071414370
9341832470
10149297400
117730238a
1241bbab60
1324c14175
1415b84960
15d191400
hex8e618f8

149297400 has 432 divisors, whose sum is σ = 623553840. Its totient is φ = 31334400.

The previous prime is 149297399. The next prime is 149297429. The reversal of 149297400 is 4792941.

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

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 107 ways as a sum of consecutive naturals, for example, 3641380 + ... + 3641420.

Almost surely, 2149297400 is an apocalyptic number.

149297400 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 149297400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311776920).

149297400 is an abundant number, since it is smaller than the sum of its proper divisors (474256440).

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

149297400 is a wasteful number, since it uses less digits than its factorization.

149297400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149297400 is about 12218.7315217252. The cubic root of 149297400 is about 530.4984038330.

The spelling of 149297400 in words is "one hundred forty-nine million, two hundred ninety-seven thousand, four hundred".