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56100150 = 23252592113
BaseRepresentation
bin1101011000000…
…0010100110110
310220120011221100
43112000110312
5103330201100
65322230530
71250562201
oct326002466
9126504840
1056100150
1129737967
1216955446
13b812b72
147644938
154dd2400
hex3580536

56100150 has 72 divisors (see below), whose sum is σ = 153349560. Its totient is φ = 14699520.

The previous prime is 56100113. The next prime is 56100169. The reversal of 56100150 is 5100165.

56100150 is a `hidden beast` number, since 5 + 610 + 0 + 1 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25494 + ... + 27606.

It is an arithmetic number, because the mean of its divisors is an integer number (2129855).

Almost surely, 256100150 is an apocalyptic number.

56100150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56100150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76674780).

56100150 is an abundant number, since it is smaller than the sum of its proper divisors (97249410).

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

56100150 is a wasteful number, since it uses less digits than its factorization.

56100150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 56100150 is about 7490.0033377830. The cubic root of 56100150 is about 382.8141722265.

The spelling of 56100150 in words is "fifty-six million, one hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 59 75 90 118 150 177 225 295 354 450 531 590 885 1062 1475 1770 2113 2655 2950 4226 4425 5310 6339 8850 10565 12678 13275 19017 21130 26550 31695 38034 52825 63390 95085 105650 124667 158475 190170 249334 316950 374001 475425 623335 748002 950850 1122003 1246670 1870005 2244006 3116675 3740010 5610015 6233350 9350025 11220030 18700050 28050075 56100150