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131906236 = 227211193317
BaseRepresentation
bin1111101110010…
…11101010111100
3100012012112100011
413313023222330
5232231444421
621031113004
73161120200
oct767135274
9305175304
10131906236
1168504120
1238212764
1321435337
1413738b00
15b8a84e1
hex7dcbabc

131906236 has 72 divisors (see below), whose sum is σ = 295381296. Its totient is φ = 50964480.

The previous prime is 131906233. The next prime is 131906237. The reversal of 131906236 is 632609131.

It is a junction number, because it is equal to n+sod(n) for n = 131906198 and 131906207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131906231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415950 + ... + 416266.

It is an arithmetic number, because the mean of its divisors is an integer number (4102518).

Almost surely, 2131906236 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 131906236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147690648).

131906236 is an abundant number, since it is smaller than the sum of its proper divisors (163475060).

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

131906236 is a wasteful number, since it uses less digits than its factorization.

131906236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 131906236 is about 11485.0440138469. The cubic root of 131906236 is about 509.0437496088.

The spelling of 131906236 in words is "one hundred thirty-one million, nine hundred six thousand, two hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 193 196 308 317 386 539 634 772 1078 1268 1351 2123 2156 2219 2702 3487 4246 4438 5404 6974 8492 8876 9457 13948 14861 15533 18914 24409 29722 31066 37828 48818 59444 61181 62132 97636 104027 122362 170863 208054 244724 341726 416108 428267 672991 683452 856534 1345982 1713068 2691964 2997869 4710937 5995738 9421874 11991476 18843748 32976559 65953118 131906236