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131056060 = 22517617189
BaseRepresentation
bin1111100111111…
…00000110111100
3100010121100010011
413303330012330
5232022243220
621000553004
73150646432
oct763740674
9303540104
10131056060
1167a833a3
1237a82764
13211c8385
1413596d52
15b78b65a
hex7cfc1bc

131056060 has 96 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 47308800.

The previous prime is 131056031. The next prime is 131056099. The reversal of 131056060 is 60650131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1472496 + ... + 1472584.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2131056060 is an apocalyptic number.

131056060 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 131056060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

131056060 is an abundant number, since it is smaller than the sum of its proper divisors (172674500).

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

131056060 is a wasteful number, since it uses less digits than its factorization.

131056060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 131056060 is about 11447.9718727817. The cubic root of 131056060 is about 507.9477440203.

The spelling of 131056060 in words is "one hundred thirty-one million, fifty-six thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 61 68 71 85 89 122 142 170 178 244 284 305 340 355 356 445 610 710 890 1037 1207 1220 1420 1513 1780 2074 2414 3026 4148 4331 4828 5185 5429 6035 6052 6319 7565 8662 10370 10858 12070 12638 15130 17324 20740 21655 21716 24140 25276 27145 30260 31595 43310 54290 63190 73627 86620 92293 107423 108580 126380 147254 184586 214846 294508 368135 369172 385459 429692 461465 537115 736270 770918 922930 1074230 1472540 1541836 1845860 1927295 2148460 3854590 6552803 7709180 13105606 26211212 32764015 65528030 131056060