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131916060 = 223351911279
BaseRepresentation
bin1111101110011…
…10000100011100
3100012020000211000
413313032010130
5232232303220
621031230300
73161160633
oct767160434
9305200730
10131916060
1168510541
1238218390
1321439953
141373c51a
15b8ab390
hex7dce11c

131916060 has 96 divisors (see below), whose sum is σ = 412876800. Its totient is φ = 34966080.

The previous prime is 131916053. The next prime is 131916077. The reversal of 131916060 is 60619131.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 102501 + ... + 103779.

It is an arithmetic number, because the mean of its divisors is an integer number (4300800).

Almost surely, 2131916060 is an apocalyptic number.

131916060 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 131916060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206438400).

131916060 is an abundant number, since it is smaller than the sum of its proper divisors (280960740).

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

131916060 is a wasteful number, since it uses less digits than its factorization.

131916060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 131916060 is about 11485.4716925340. The cubic root of 131916060 is about 509.0563866703.

The spelling of 131916060 in words is "one hundred thirty-one million, nine hundred sixteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 191 270 382 540 573 764 955 1146 1279 1719 1910 2292 2558 2865 3438 3820 3837 5116 5157 5730 6395 6876 7674 8595 10314 11460 11511 12790 15348 17190 19185 20628 23022 25580 25785 34380 34533 38370 46044 51570 57555 69066 76740 103140 115110 138132 172665 230220 244289 345330 488578 690660 732867 977156 1221445 1465734 2198601 2442890 2931468 3664335 4397202 4885780 6595803 7328670 8794404 10993005 13191606 14657340 21986010 26383212 32979015 43972020 65958030 131916060