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151315420 = 225411271453
BaseRepresentation
bin10010000010011…
…10001111011100
3101112201121201211
421001032033130
5302214043140
623003114204
73515105554
oct1101161734
9345647654
10151315420
1178460573
1242812964
132546c869
141614c164
15d43e2ea
hex904e3dc

151315420 has 48 divisors (see below), whose sum is σ = 328301568. Its totient is φ = 58544640.

The previous prime is 151315403. The next prime is 151315447. The reversal of 151315420 is 24513151.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 151315391 and 151315400.

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 15 ways as a sum of consecutive naturals, for example, 103414 + ... + 104866.

It is an arithmetic number, because the mean of its divisors is an integer number (6839616).

Almost surely, 2151315420 is an apocalyptic number.

151315420 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 151315420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164150784).

151315420 is an abundant number, since it is smaller than the sum of its proper divisors (176986148).

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

151315420 is a wasteful number, since it uses less digits than its factorization.

151315420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 151315420 is about 12301.0332899314. The cubic root of 151315420 is about 532.8779246092.

Adding to 151315420 its reverse (24513151), we get a palindrome (175828571).

The spelling of 151315420 in words is "one hundred fifty-one million, three hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 127 164 205 254 410 508 635 820 1270 1453 2540 2906 5207 5812 7265 10414 14530 20828 26035 29060 52070 59573 104140 119146 184531 238292 297865 369062 595730 738124 922655 1191460 1845310 3690620 7565771 15131542 30263084 37828855 75657710 151315420