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16152072 = 23323291009
BaseRepresentation
bin111101100111…
…011000001000
31010101121110220
4331213120020
513113331242
61334110040
7254201406
oct75473010
933347426
1016152072
119132322
1254ab320
133466b51
142206476
151640bec
hexf67608

16152072 has 64 divisors (see below), whose sum is σ = 43632000. Its totient is φ = 4967424.

The previous prime is 16152041. The next prime is 16152079. The reversal of 16152072 is 27025161.

16152072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (16152079) 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, 15504 + ... + 16512.

It is an arithmetic number, because the mean of its divisors is an integer number (681750).

Almost surely, 216152072 is an apocalyptic number.

16152072 is a gapful number since it is divisible by the number (12) 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 16152072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21816000).

16152072 is an abundant number, since it is smaller than the sum of its proper divisors (27479928).

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

16152072 is a wasteful number, since it uses less digits than its factorization.

16152072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 16152072 is about 4018.9640456217. The cubic root of 16152072 is about 252.7800219885.

The spelling of 16152072 in words is "sixteen million, one hundred fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1009 1334 2001 2018 2668 3027 4002 4036 5336 6054 8004 8072 12108 16008 23207 24216 29261 46414 58522 69621 87783 92828 117044 139242 175566 185656 234088 278484 351132 556968 673003 702264 1346006 2019009 2692012 4038018 5384024 8076036 16152072