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3100790028 = 2237438310343
BaseRepresentation
bin1011100011010010…
…0100110100001100
322000002200110021010
42320310210310030
522322300240103
61231404405220
7136561165110
oct27064446414
98002613233
103100790028
111351351496
12726546810
133a55437cb
14215b61740
15132352903
hexb8d24d0c

3100790028 has 96 divisors (see below), whose sum is σ = 8563838976. Its totient is φ = 854828352.

The previous prime is 3100790027. The next prime is 3100790041. The reversal of 3100790028 is 8200970013.

It is a happy number.

It is a super-2 number, since 2×31007900282 = 19229797595488481568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3100789977 and 3100790004.

It is not an unprimeable number, because it can be changed into a prime (3100790023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294625 + ... + 304967.

It is an arithmetic number, because the mean of its divisors is an integer number (89206656).

Almost surely, 23100790028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100790028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281919488).

3100790028 is an abundant number, since it is smaller than the sum of its proper divisors (5463048948).

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

3100790028 is a wasteful number, since it uses less digits than its factorization.

3100790028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10483 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3100790028 is about 55684.7378372207. The cubic root of 3100790028 is about 1458.2235897811.

The spelling of 3100790028 in words is "three billion, one hundred million, seven hundred ninety thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 83 84 86 129 166 172 249 258 301 332 498 516 581 602 903 996 1162 1204 1743 1806 2324 3486 3569 3612 6972 7138 10343 10707 14276 20686 21414 24983 31029 41372 42828 49966 62058 72401 74949 99932 124116 144802 149898 217203 289604 299796 434406 444749 858469 868812 889498 1334247 1716938 1778996 2575407 2668494 3113243 3433876 5150814 5336988 6009283 6226486 9339729 10301628 12018566 12452972 18027849 18679458 24037132 36055698 36914167 37358916 72111396 73828334 110742501 147656668 221485002 258399169 442970004 516798338 775197507 1033596676 1550395014 3100790028