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2390100 = 2235231257
BaseRepresentation
bin1001000111100001010100
311111102121020
421013201110
51102440400
6123121140
726213136
oct11074124
94442536
102390100
111392799
129731b0
13658b7b
14463056
153232a0
hex247854

2390100 has 72 divisors (see below), whose sum is σ = 7166208. Its totient is φ = 614400.

The previous prime is 2390099. The next prime is 2390111. The reversal of 2390100 is 10932.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2390100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9172 + ... + 9428.

22390100 is an apocalyptic number.

2390100 is a gapful number since it is divisible by the number (20) 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 2390100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583104).

2390100 is an abundant number, since it is smaller than the sum of its proper divisors (4776108).

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

2390100 is a wasteful number, since it uses less digits than its factorization.

2390100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2390100 is about 1545.9948253471. The cubic root of 2390100 is about 133.7022422441.

The spelling of 2390100 in words is "two million, three hundred ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 257 300 310 372 465 514 620 771 775 930 1028 1285 1542 1550 1860 2325 2570 3084 3100 3855 4650 5140 6425 7710 7967 9300 12850 15420 15934 19275 23901 25700 31868 38550 39835 47802 77100 79670 95604 119505 159340 199175 239010 398350 478020 597525 796700 1195050 2390100