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151020024 = 23323475821
BaseRepresentation
bin10010000000001…
…10000111111000
3101112011121112020
421000012013320
5302130120044
622552514440
73512435421
oct1100060770
9345147466
10151020024
1178279641
12426aba20
132539827c
14160b2648
15d3d1a19
hex90061f8

151020024 has 64 divisors (see below), whose sum is σ = 402416640. Its totient is φ = 47118720.

The previous prime is 151020013. The next prime is 151020031. The reversal of 151020024 is 420020151.

It is a junction number, because it is equal to n+sod(n) for n = 151019985 and 151020012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23034 + ... + 28854.

It is an arithmetic number, because the mean of its divisors is an integer number (6287760).

Almost surely, 2151020024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151020024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201208320).

151020024 is an abundant number, since it is smaller than the sum of its proper divisors (251396616).

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

151020024 is a wasteful number, since it uses less digits than its factorization.

151020024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 151020024 is about 12289.0204654399. The cubic root of 151020024 is about 532.5309395940.

Adding to 151020024 its reverse (420020151), we get a palindrome (571040175).

The spelling of 151020024 in words is "one hundred fifty-one million, twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 69 92 94 138 141 184 188 276 282 376 552 564 1081 1128 2162 3243 4324 5821 6486 8648 11642 12972 17463 23284 25944 34926 46568 69852 133883 139704 267766 273587 401649 535532 547174 803298 820761 1071064 1094348 1606596 1641522 2188696 3213192 3283044 6292501 6566088 12585002 18877503 25170004 37755006 50340008 75510012 151020024