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6098940 = 22325311093
BaseRepresentation
bin10111010000111111111100
3102110212011200
4113100333330
53030131230
6334415500
7102561111
oct27207774
912425150
106098940
113496251
122061590
131357053
14b4a908
15807160
hex5d0ffc

6098940 has 72 divisors (see below), whose sum is σ = 19114368. Its totient is φ = 1572480.

The previous prime is 6098929. The next prime is 6098941. The reversal of 6098940 is 498906.

6098940 is a `hidden beast` number, since 609 + 8 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6098895 and 6098904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6098941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5034 + ... + 6126.

Almost surely, 26098940 is an apocalyptic number.

6098940 is a gapful number since it is divisible by the number (60) 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 6098940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557184).

6098940 is an abundant number, since it is smaller than the sum of its proper divisors (13015428).

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

6098940 is a wasteful number, since it uses less digits than its factorization.

6098940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6098940 is about 2469.6032069950. The cubic root of 6098940 is about 182.7054295227.

The spelling of 6098940 in words is "six million, ninety-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1093 1116 1395 1860 2186 2790 3279 4372 5465 5580 6558 9837 10930 13116 16395 19674 21860 32790 33883 39348 49185 65580 67766 98370 101649 135532 169415 196740 203298 304947 338830 406596 508245 609894 677660 1016490 1219788 1524735 2032980 3049470 6098940