Search a number
-
+
131560896 = 2634761239
BaseRepresentation
bin1111101011101…
…11010111000000
3100011112222121210
413311313113000
5232134422041
621015450120
73155151315
oct765672700
9304488553
10131560896
1168298715
1238086940
13213440ac
1413688d0c
15b83b016
hex7d775c0

131560896 has 112 divisors (see below), whose sum is σ = 362833920. Its totient is φ = 42040320.

The previous prime is 131560889. The next prime is 131560903. The reversal of 131560896 is 698065131.

It is an interprime number because it is at equal distance from previous prime (131560889) and next prime (131560903).

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, 550345 + ... + 550583.

Almost surely, 2131560896 is an apocalyptic number.

131560896 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 131560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181416960).

131560896 is an abundant number, since it is smaller than the sum of its proper divisors (231273024).

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

131560896 is a wasteful number, since it uses less digits than its factorization.

131560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 131560896 is about 11469.9998256321. Note that the first 3 decimals coincide. The cubic root of 131560896 is about 508.5991236624.

The spelling of 131560896 in words is "one hundred thirty-one million, five hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 61 64 94 96 122 141 183 188 192 239 244 282 366 376 478 488 564 717 732 752 956 976 1128 1434 1464 1504 1912 1952 2256 2867 2868 2928 3008 3824 3904 4512 5734 5736 5856 7648 8601 9024 11233 11468 11472 11712 14579 15296 17202 22466 22936 22944 29158 33699 34404 43737 44932 45872 45888 58316 67398 68808 87474 89864 91744 116632 134796 137616 174948 179728 183488 233264 269592 275232 349896 359456 466528 539184 550464 685213 699792 718912 933056 1078368 1370426 1399584 2055639 2156736 2740852 2799168 4111278 5481704 8222556 10963408 16445112 21926816 32890224 43853632 65780448 131560896