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151456020 = 223573151229
BaseRepresentation
bin10010000011100…
…00100100010100
3101112222202121020
421001300210110
5302233043040
623010121140
73516232512
oct1101604424
9345882536
10151456020
1178547171
12428801b0
13254bb861
14161874b2
15d46acd0
hex9070914

151456020 has 96 divisors (see below), whose sum is σ = 434622720. Its totient is φ = 39398400.

The previous prime is 151455991. The next prime is 151456021. The reversal of 151456020 is 20654151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151456021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661266 + ... + 661494.

It is an arithmetic number, because the mean of its divisors is an integer number (4527320).

Almost surely, 2151456020 is an apocalyptic number.

151456020 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 151456020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217311360).

151456020 is an abundant number, since it is smaller than the sum of its proper divisors (283166700).

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

151456020 is a wasteful number, since it uses less digits than its factorization.

151456020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 151456020 is about 12306.7469300380. The cubic root of 151456020 is about 533.0429208854.

The spelling of 151456020 in words is "one hundred fifty-one million, four hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 151 219 229 292 302 365 438 453 458 604 687 730 755 876 906 916 1095 1145 1374 1460 1510 1812 2190 2265 2290 2748 3020 3435 4380 4530 4580 6870 9060 11023 13740 16717 22046 33069 33434 34579 44092 50151 55115 66138 66868 69158 83585 100302 103737 110230 132276 138316 165345 167170 172895 200604 207474 220460 250755 330690 334340 345790 414948 501510 518685 661380 691580 1003020 1037370 2074740 2524267 5048534 7572801 10097068 12621335 15145602 25242670 30291204 37864005 50485340 75728010 151456020