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151001064 = 2333977207
BaseRepresentation
bin10010000000000…
…01011111101000
3101112010122112000
421000001133220
5302124013224
622552251000
73512326224
oct1100013750
9345118460
10151001064
1178266375
12426a0a60
132538c756
14160a9784
15d3cb0c9
hex90017e8

151001064 has 64 divisors (see below), whose sum is σ = 423830400. Its totient is φ = 49807872.

The previous prime is 151001063. The next prime is 151001069. The reversal of 151001064 is 460100151.

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

It is not an unprimeable number, because it can be changed into a prime (151001063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17349 + ... + 24555.

It is an arithmetic number, because the mean of its divisors is an integer number (6622350).

Almost surely, 2151001064 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 151001064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211915200).

151001064 is an abundant number, since it is smaller than the sum of its proper divisors (272829336).

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

151001064 is a wasteful number, since it uses less digits than its factorization.

151001064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 151001064 is about 12288.2490209142. The cubic root of 151001064 is about 532.5086529044.

The spelling of 151001064 in words is "one hundred fifty-one million, one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3492 5238 6984 7207 10476 14414 20952 21621 28828 43242 57656 64863 86484 129726 172968 194589 259452 389178 518904 699079 778356 1398158 1556712 2097237 2796316 4194474 5592632 6291711 8388948 12583422 16777896 18875133 25166844 37750266 50333688 75500532 151001064