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6112680 = 2335719383
BaseRepresentation
bin10111010100010110101000
3102111120000120
4113110112220
53031101210
6335003240
7102646140
oct27242650
912446016
106112680
1134a5602
122069520
131360392
14b51920
1580b270
hex5d45a8

6112680 has 128 divisors (see below), whose sum is σ = 22118400. Its totient is φ = 1320192.

The previous prime is 6112657. The next prime is 6112681. The reversal of 6112680 is 862116.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6112680.

It is not an unprimeable number, because it can be changed into a prime (6112681) 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 31 ways as a sum of consecutive naturals, for example, 15769 + ... + 16151.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 26112680 is an apocalyptic number.

6112680 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 6112680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059200).

6112680 is an abundant number, since it is smaller than the sum of its proper divisors (16005720).

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

6112680 is a wasteful number, since it uses less digits than its factorization.

6112680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 6112680 is about 2472.3834654034. The cubic root of 6112680 is about 182.8425292916.

Adding to 6112680 its reverse (862116), we get a palindrome (6974796).

The spelling of 6112680 in words is "six million, one hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 383 399 420 456 532 570 665 760 766 798 840 1064 1140 1149 1330 1532 1596 1915 1995 2280 2298 2660 2681 3064 3192 3830 3990 4596 5320 5362 5745 7277 7660 7980 8043 9192 10724 11490 13405 14554 15320 15960 16086 21448 21831 22980 26810 29108 32172 36385 40215 43662 45960 50939 53620 58216 64344 72770 80430 87324 101878 107240 109155 145540 152817 160860 174648 203756 218310 254695 291080 305634 321720 407512 436620 509390 611268 764085 873240 1018780 1222536 1528170 2037560 3056340 6112680