Search a number
-
+
5838072520 = 2357233129243
BaseRepresentation
bin1010110111111100…
…11110101011001000
3120001212100210221011
411123332132223020
543424021310040
62403150053304
7264446540410
oct53376365310
916055323834
105838072520
112526492325
12116b1aa234
13720681ba7
143d54db640
152427ee3ea
hex15bf9eac8

5838072520 has 128 divisors (see below), whose sum is σ = 16170762240. Its totient is φ = 1852773120.

The previous prime is 5838072511. The next prime is 5838072529. The reversal of 5838072520 is 252708385.

It is an interprime number because it is at equal distance from previous prime (5838072511) and next prime (5838072529).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5838072529) 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, 185019 + ... + 214261.

It is an arithmetic number, because the mean of its divisors is an integer number (126334080).

Almost surely, 25838072520 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 5838072520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085381120).

5838072520 is an abundant number, since it is smaller than the sum of its proper divisors (10332689720).

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

5838072520 is a wasteful number, since it uses less digits than its factorization.

5838072520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29315 (or 29311 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 5838072520 is about 76407.2805431524. The cubic root of 5838072520 is about 1800.6245281446.

The spelling of 5838072520 in words is "five billion, eight hundred thirty-eight million, seventy-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 31 35 40 46 56 62 70 92 115 124 140 155 161 184 217 230 248 280 310 322 434 460 620 644 713 805 868 920 1085 1240 1288 1426 1610 1736 2170 2852 3220 3565 4340 4991 5704 6440 7130 8680 9982 14260 19964 24955 28520 29243 39928 49910 58486 99820 116972 146215 199640 204701 233944 292430 409402 584860 672589 818804 906533 1023505 1169720 1345178 1637608 1813066 2047010 2690356 3362945 3626132 4094020 4532665 4708123 5380712 6345731 6725890 7252264 8188040 9065330 9416246 12691462 13451780 18130660 18832492 20850259 23540615 25382924 26903560 31728655 36261320 37664984 41700518 47081230 50765848 63457310 83401036 94162460 104251295 126914620 145951813 166802072 188324920 208502590 253829240 291903626 417005180 583807252 729759065 834010360 1167614504 1459518130 2919036260 5838072520