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3113856 = 27331753
BaseRepresentation
bin1011111000001110000000
312212012102000
423320032000
51244120411
6150424000
735316204
oct13701600
95765360
103113856
111837539
121062000
13850425
145b0b04
15417956
hex2f8380

3113856 has 128 divisors (see below), whose sum is σ = 9914400. Its totient is φ = 958464.

The previous prime is 3113837. The next prime is 3113861. The reversal of 3113856 is 6583113.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58726 + ... + 58778.

Almost surely, 23113856 is an apocalyptic number.

3113856 is a gapful number since it is divisible by the number (36) 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 3113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957200).

3113856 is an abundant number, since it is smaller than the sum of its proper divisors (6800544).

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

3113856 is a wasteful number, since it uses less digits than its factorization.

3113856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 3113856 is about 1764.6121386866. The cubic root of 3113856 is about 146.0268919001.

Subtracting from 3113856 its product of digits (2160), we obtain a 4-th power (3111696 = 424).

Adding to 3113856 its reverse (6583113), we get a palindrome (9696969).

It can be divided in two parts, 3113 and 856, that added together give a square (3969 = 632).

The spelling of 3113856 in words is "three million, one hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 53 54 64 68 72 96 102 106 108 128 136 144 153 159 192 204 212 216 272 288 306 318 384 408 424 432 459 477 544 576 612 636 816 848 864 901 918 954 1088 1152 1224 1272 1431 1632 1696 1728 1802 1836 1908 2176 2448 2544 2703 2862 3264 3392 3456 3604 3672 3816 4896 5088 5406 5724 6528 6784 7208 7344 7632 8109 9792 10176 10812 11448 14416 14688 15264 16218 19584 20352 21624 22896 24327 28832 29376 30528 32436 43248 45792 48654 57664 58752 61056 64872 86496 91584 97308 115328 129744 172992 183168 194616 259488 345984 389232 518976 778464 1037952 1556928 3113856