Search a number
-
+
152265696 = 25311197589
BaseRepresentation
bin10010001001101…
…10001111100000
3101121111220021020
421010312033200
5302440000241
623035325440
73526144212
oct1104661740
9347456236
10152265696
1178a4a520
1242bb0880
132571325b
14163185b2
15d57ab66
hex91363e0

152265696 has 96 divisors (see below), whose sum is σ = 459043200. Its totient is φ = 43706880.

The previous prime is 152265683. The next prime is 152265721. The reversal of 152265696 is 696562251.

It is a tau number, because it is divible by the number of its divisors (96).

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, 16270 + ... + 23858.

It is an arithmetic number, because the mean of its divisors is an integer number (4781700).

Almost surely, 2152265696 is an apocalyptic number.

152265696 is a gapful number since it is divisible by the number (16) 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 152265696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229521600).

152265696 is an abundant number, since it is smaller than the sum of its proper divisors (306777504).

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

152265696 is a wasteful number, since it uses less digits than its factorization.

152265696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7632 (or 7624 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 152265696 is about 12339.5986968783. The cubic root of 152265696 is about 533.9911064742.

The spelling of 152265696 in words is "one hundred fifty-two million, two hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 7589 10032 15178 20064 22767 30356 45534 60712 83479 91068 121424 144191 166958 182136 242848 250437 288382 333916 364272 432573 500874 576764 667832 728544 865146 1001748 1153528 1335664 1586101 1730292 2003496 2307056 2671328 3172202 3460584 4006992 4614112 4758303 6344404 6921168 8013984 9516606 12688808 13842336 19033212 25377616 38066424 50755232 76132848 152265696