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152706696 = 23337383449
BaseRepresentation
bin10010001101000…
…01111010001000
3101122100022012120
421012201322020
5303043103241
623053011240
73532662012
oct1106417210
9348308176
10152706696
117922088a
1243183b20
1325838bbc
14163d11b2
15d616666
hex91a1e88

152706696 has 64 divisors (see below), whose sum is σ = 393984000. Its totient is φ = 49287168.

The previous prime is 152706677. The next prime is 152706703. The reversal of 152706696 is 696607251.

152706696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339880 + ... + 340328.

It is an arithmetic number, because the mean of its divisors is an integer number (6156000).

Almost surely, 2152706696 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 152706696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

152706696 is an abundant number, since it is smaller than the sum of its proper divisors (241277304).

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

152706696 is a wasteful number, since it uses less digits than its factorization.

152706696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 152706696 is about 12357.4550778063. The cubic root of 152706696 is about 534.5061340498.

The spelling of 152706696 in words is "one hundred fifty-two million, seven hundred six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 383 444 449 766 888 898 1149 1347 1532 1796 2298 2694 3064 3592 4596 5388 9192 10776 14171 16613 28342 33226 42513 49839 56684 66452 85026 99678 113368 132904 170052 171967 199356 340104 343934 398712 515901 687868 1031802 1375736 2063604 4127208 6362779 12725558 19088337 25451116 38176674 50902232 76353348 152706696