Search a number
-
+
239860096 = 2772167229
BaseRepresentation
bin11100100101111…
…11100110000000
3121201100011012021
432102333212000
5442401010341
635445011224
75641530400
oct1622774600
9551304167
10239860096
11113438493
12683b3b14
133a902268
1423bda800
15160ce9d1
hexe4bf980

239860096 has 96 divisors (see below), whose sum is σ = 561632400. Its totient is φ = 101735424.

The previous prime is 239860091. The next prime is 239860097. The reversal of 239860096 is 690068932.

239860096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239860091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047310 + ... + 1047538.

Almost surely, 2239860096 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 239860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280816200).

239860096 is an abundant number, since it is smaller than the sum of its proper divisors (321772304).

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

239860096 is a wasteful number, since it uses less digits than its factorization.

239860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 239860096 is about 15487.4173444122. The cubic root of 239860096 is about 621.3257237592.

The spelling of 239860096 in words is "two hundred thirty-nine million, eight hundred sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 167 196 224 229 334 392 448 458 668 784 896 916 1169 1336 1568 1603 1832 2338 2672 3136 3206 3664 4676 5344 6272 6412 7328 8183 9352 10688 11221 12824 14656 16366 18704 21376 22442 25648 29312 32732 37408 38243 44884 51296 65464 74816 76486 89768 102592 130928 149632 152972 179536 205184 261856 267701 305944 359072 523712 535402 611888 718144 1047424 1070804 1223776 1436288 1873907 2141608 2447552 3747814 4283216 4895104 7495628 8566432 14991256 17132864 29982512 34265728 59965024 119930048 239860096