Search a number
-
+
151428420 = 2233511133753
BaseRepresentation
bin10010000011010…
…01110101000100
3101112221100202000
421001221311010
5302231202140
623005345300
73516056163
oct1101516504
9345840660
10151428420
1178528460
1242868230
13254ac120
141617b3da
15d462a30
hex9069d44

151428420 has 384 divisors, whose sum is σ = 579156480. Its totient is φ = 32348160.

The previous prime is 151428377. The next prime is 151428449. The reversal of 151428420 is 24824151.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 2857114 + ... + 2857166.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2151428420 is an apocalyptic number.

151428420 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 151428420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

151428420 is an abundant number, since it is smaller than the sum of its proper divisors (427728060).

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

151428420 is a wasteful number, since it uses less digits than its factorization.

151428420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 151428420 is about 12305.6255428158. The cubic root of 151428420 is about 533.0105399157.

The spelling of 151428420 in words is "one hundred fifty-one million, four hundred twenty-eight thousand, four hundred twenty".