Search a number
-
+
3800570112 = 28334113411
BaseRepresentation
bin1110001010001000…
…0001100100000000
3100210212102222002000
43202202001210000
530240421220422
61425043224000
7163116212223
oct34242014400
910725388060
103800570112
111680360639
128a0978000
13487506a71
14280a7d5ba
151739cecac
hexe2881900

3800570112 has 144 divisors (see below), whose sum is σ = 11513933760. Its totient is φ = 1235865600.

The previous prime is 3800570101. The next prime is 3800570177. The reversal of 3800570112 is 2110750083.

3800570112 is a `hidden beast` number, since 3 + 80 + 0 + 570 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 276687 + ... + 290097.

Almost surely, 23800570112 is an apocalyptic number.

3800570112 is a gapful number since it is divisible by the number (32) 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 3800570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756966880).

3800570112 is an abundant number, since it is smaller than the sum of its proper divisors (7713363648).

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

3800570112 is a wasteful number, since it uses less digits than its factorization.

3800570112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13477 (or 13457 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 3800570112 is about 61648.7640752027. The cubic root of 3800570112 is about 1560.5687866741.

The spelling of 3800570112 in words is "three billion, eight hundred million, five hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 576 656 738 768 864 984 1107 1152 1312 1476 1728 1968 2214 2304 2624 2952 3456 3936 4428 5248 5904 6912 7872 8856 10496 11808 13411 15744 17712 23616 26822 31488 35424 40233 47232 53644 70848 80466 94464 107288 120699 141696 160932 214576 241398 283392 321864 362097 429152 482796 549851 643728 724194 858304 965592 1099702 1287456 1448388 1649553 1716608 1931184 2199404 2574912 2896776 3299106 3433216 3862368 4398808 4948659 5149824 5793552 6598212 7724736 8797616 9897318 10299648 11587104 13196424 14845977 15449472 17595232 19794636 23174208 26392848 29691954 30898944 35190464 39589272 46348416 52785696 59383908 70380928 79178544 92696832 105571392 118767816 140761856 158357088 211142784 237535632 316714176 422285568 475071264 633428352 950142528 1266856704 1900285056 3800570112