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149280000 = 28354311
BaseRepresentation
bin10001110010111…
…01010100000000
3101101220012122220
420321131110000
5301203430000
622451331040
73461600442
oct1071352400
9341805586
10149280000
11772a0301
1241bb0a80
1324c0927c
1415b7c492
15d18b1a0
hex8e5d500

149280000 has 180 divisors, whose sum is σ = 498065568. Its totient is φ = 39680000.

The previous prime is 149279989. The next prime is 149280011. The reversal of 149280000 is 82941.

It is an interprime number because it is at equal distance from previous prime (149279989) and next prime (149280011).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 19 ways as a sum of consecutive naturals, for example, 479845 + ... + 480155.

Almost surely, 2149280000 is an apocalyptic number.

149280000 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 149280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249032784).

149280000 is an abundant number, since it is smaller than the sum of its proper divisors (348785568).

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

149280000 is an frugal number, since it uses more digits than its factorization.

149280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 149280000 is about 12218.0194794410. The cubic root of 149280000 is about 530.4777938941.

The spelling of 149280000 in words is "one hundred forty-nine million, two hundred eighty thousand".