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3812130240 = 26358347843
BaseRepresentation
bin1110001100111000…
…0111110111000000
3100211200012021120220
43203032013313000
530301401131430
61430135103040
7163316400222
oct34316076700
910750167526
103812130240
111686936966
128a4811a80
13489a23789
1428240c412
15174a15110
hexe3387dc0

3812130240 has 112 divisors (see below), whose sum is σ = 12249595008. Its totient is φ = 1004299264.

The previous prime is 3812130229. The next prime is 3812130251. The reversal of 3812130240 is 420312183.

3812130240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3812130229) and next prime (3812130251).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3812130240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55759 + ... + 103601.

It is an arithmetic number, because the mean of its divisors is an integer number (109371384).

Almost surely, 23812130240 is an apocalyptic number.

3812130240 is a gapful number since it is divisible by the number (30) 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 3812130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124797504).

3812130240 is an abundant number, since it is smaller than the sum of its proper divisors (8437464768).

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

3812130240 is a wasteful number, since it uses less digits than its factorization.

3812130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47946 (or 47936 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3812130240 is about 61742.4508745806. The cubic root of 3812130240 is about 1562.1494367880.

The spelling of 3812130240 in words is "three billion, eight hundred twelve million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 160 166 192 240 249 320 332 415 480 498 664 830 960 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 13280 15936 19920 26560 39840 47843 79680 95686 143529 191372 239215 287058 382744 478430 574116 717645 765488 956860 1148232 1435290 1530976 1913720 2296464 2870580 3061952 3827440 3970969 4592928 5741160 7654880 7941938 9185856 11482320 11912907 15309760 15883876 19854845 22964640 23825814 31767752 39709690 45929280 47651628 59564535 63535504 79419380 95303256 119129070 127071008 158838760 190606512 238258140 254142016 317677520 381213024 476516280 635355040 762426048 953032560 1270710080 1906065120 3812130240