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6131034 = 23271319197
BaseRepresentation
bin10111011000110101011010
3102112111012100
4113120311122
53032143114
6335224230
7103053510
oct27306532
912474170
106131034
113508378
122078076
131368840
14b584b0
15811909
hex5d8d5a

6131034 has 96 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 1524096.

The previous prime is 6130997. The next prime is 6131039. The reversal of 6131034 is 4301316.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6130998 and 6131016.

It is not an unprimeable number, because it can be changed into a prime (6131039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31024 + ... + 31220.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 26131034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6131034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

6131034 is an abundant number, since it is smaller than the sum of its proper divisors (11166246).

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

6131034 is a wasteful number, since it uses less digits than its factorization.

6131034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6131034 is about 2476.0924861564. The cubic root of 6131034 is about 183.0253480968.

The spelling of 6131034 in words is "six million, one hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 197 234 247 266 273 342 394 399 494 546 591 741 798 819 1182 1197 1379 1482 1638 1729 1773 2223 2394 2561 2758 3458 3546 3743 4137 4446 5122 5187 7486 7683 8274 10374 11229 12411 15366 15561 17927 22458 23049 24822 26201 31122 33687 35854 46098 48659 52402 53781 67374 78603 97318 107562 145977 157206 161343 235809 291954 322686 340613 437931 471618 681226 875862 1021839 2043678 3065517 6131034