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131600060 = 225175367109
BaseRepresentation
bin1111101100000…
…00111010111100
3100011121222100022
413312000322330
5232142200220
621020351312
73155403434
oct766007274
9304558308
10131600060
1168315089
12380a5538
1321358b77
14136992c4
15b847925
hex7d80ebc

131600060 has 96 divisors (see below), whose sum is σ = 305363520. Its totient is φ = 47443968.

The previous prime is 131600059. The next prime is 131600087. The reversal of 131600060 is 60006131.

131600060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207286 + ... + 1207394.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2131600060 is an apocalyptic number.

131600060 is a gapful number since it is divisible by the number (10) 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 131600060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152681760).

131600060 is an abundant number, since it is smaller than the sum of its proper divisors (173763460).

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

131600060 is a wasteful number, since it uses less digits than its factorization.

131600060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 131600060 is about 11471.7069348899. The cubic root of 131600060 is about 508.6495864784.

Adding to 131600060 its reverse (60006131), we get a palindrome (191606191).

The spelling of 131600060 in words is "one hundred thirty-one million, six hundred thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 53 67 68 85 106 109 134 170 212 218 265 268 335 340 436 530 545 670 901 1060 1090 1139 1340 1802 1853 2180 2278 3551 3604 3706 4505 4556 5695 5777 7102 7303 7412 9010 9265 11390 11554 14204 14606 17755 18020 18530 22780 23108 28885 29212 35510 36515 37060 57770 60367 71020 73030 98209 115540 120734 124151 146060 196418 241468 248302 301835 387059 392836 491045 496604 603670 620755 774118 982090 1207340 1241510 1548236 1935295 1964180 2483020 3870590 6580003 7741180 13160006 26320012 32900015 65800030 131600060