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6100146 = 23213131199
BaseRepresentation
bin10111010001010010110010
3102110220211100
4113101102302
53030201041
6334425230
7102564453
oct27212262
912426740
106100146
113497148
122062216
131357770
14b4b12a
158076b6
hex5d14b2

6100146 has 48 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 1853280.

The previous prime is 6100139. The next prime is 6100147. The reversal of 6100146 is 6410016.

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

It is not an unprimeable number, because it can be changed into a prime (6100147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30555 + ... + 30753.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 26100146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6100146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207200).

6100146 is an abundant number, since it is smaller than the sum of its proper divisors (8314254).

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

6100146 is a wasteful number, since it uses less digits than its factorization.

6100146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6100146 is about 2469.8473637049. The cubic root of 6100146 is about 182.7174714090.

The spelling of 6100146 in words is "six million, one hundred thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 199 234 262 393 398 597 786 1179 1194 1703 1791 2358 2587 3406 3582 5109 5174 7761 10218 15327 15522 23283 26069 30654 46566 52138 78207 156414 234621 338897 469242 677794 1016691 2033382 3050073 6100146