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152006660 = 22513896569
BaseRepresentation
bin10010000111101…
…11000000000100
3101121000201221022
421003313000010
5302403203120
623030010312
73524015051
oct1103670004
9347021838
10152006660
1178892943
1242aa6998
1325652390
141628c028
15d529025
hex90f7004

152006660 has 48 divisors (see below), whose sum is σ = 347684400. Its totient is φ = 55486464.

The previous prime is 152006651. The next prime is 152006731. The reversal of 152006660 is 66600251.

152006660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6031936 + 145974724 = 2456^2 + 12082^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 19856 + ... + 26424.

It is an arithmetic number, because the mean of its divisors is an integer number (7243425).

Almost surely, 2152006660 is an apocalyptic number.

152006660 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 152006660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173842200).

152006660 is an abundant number, since it is smaller than the sum of its proper divisors (195677740).

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

152006660 is a wasteful number, since it uses less digits than its factorization.

152006660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6680 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 152006660 is about 12329.0981016456. The cubic root of 152006660 is about 533.6881241722.

The spelling of 152006660 in words is "one hundred fifty-two million, six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 4628 5785 6569 11570 13138 23140 26276 32845 65690 85397 131380 170794 341588 426985 584641 853970 1169282 1707940 2338564 2923205 5846410 7600333 11692820 15200666 30401332 38001665 76003330 152006660