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151201530 = 232510915413
BaseRepresentation
bin10010000001100…
…10011011111010
3101112111211111200
421000302123322
5302201422110
623000435030
73514122534
oct1100623372
9345454450
10151201530
1178392a47
1242778a76
132542ca7c
141611c854
15d41a6c0
hex90326fa

151201530 has 48 divisors (see below), whose sum is σ = 396756360. Its totient is φ = 39947904.

The previous prime is 151201511. The next prime is 151201541. The reversal of 151201530 is 35102151.

151201530 is a `hidden beast` number, since 1 + 512 + 0 + 153 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147549609 + 3651921 = 12147^2 + 1911^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 2104 + ... + 17516.

Almost surely, 2151201530 is an apocalyptic number.

151201530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151201530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198378180).

151201530 is an abundant number, since it is smaller than the sum of its proper divisors (245554830).

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

151201530 is a wasteful number, since it uses less digits than its factorization.

151201530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15535 (or 15532 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 151201530 is about 12296.4031326238. The cubic root of 151201530 is about 532.7441979881.

Adding to 151201530 its reverse (35102151), we get a palindrome (186303681).

The spelling of 151201530 in words is "one hundred fifty-one million, two hundred one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 15413 30826 46239 77065 92478 138717 154130 231195 277434 462390 693585 1387170 1680017 3360034 5040051 8400085 10080102 15120153 16800170 25200255 30240306 50400510 75600765 151201530