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6136830 = 2335717191
BaseRepresentation
bin10111011010001111111110
3102112210011000
4113122033332
53032334310
6335311130
7103106430
oct27321776
912483130
106136830
113511767
12207b4a6
13136b37b
14b5a650
158134c0
hex5da3fe

6136830 has 128 divisors (see below), whose sum is σ = 19906560. Its totient is φ = 1313280.

The previous prime is 6136807. The next prime is 6136841. The reversal of 6136830 is 386316.

It is a super-4 number, since 4×61368304 (a number of 28 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6136794 and 6136803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32035 + ... + 32225.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

Almost surely, 26136830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6136830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9953280).

6136830 is an abundant number, since it is smaller than the sum of its proper divisors (13769730).

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

6136830 is a wasteful number, since it uses less digits than its factorization.

6136830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6136830 is about 2477.2626021478. The cubic root of 6136830 is about 183.0830045383.

The spelling of 6136830 in words is "six million, one hundred thirty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 191 210 238 255 270 306 315 357 378 382 459 510 573 595 630 714 765 918 945 955 1071 1146 1190 1337 1530 1719 1785 1890 1910 2142 2295 2674 2865 3213 3247 3438 3570 4011 4590 5157 5355 5730 6426 6494 6685 8022 8595 9741 10314 10710 12033 13370 16065 16235 17190 19482 20055 22729 24066 25785 29223 32130 32470 36099 40110 45458 48705 51570 58446 60165 68187 72198 87669 97410 113645 120330 136374 146115 175338 180495 204561 227290 292230 340935 360990 409122 438345 613683 681870 876690 1022805 1227366 2045610 3068415 6136830