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7114968 = 2332719743
BaseRepresentation
bin11011001001000011011000
3111101110220100
4123021003120
53310134333
6412255400
7114322230
oct33110330
914343810
107114968
11401a643
122471560
131621653
14d32cc0
15958213
hex6c90d8

7114968 has 96 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 1923264.

The previous prime is 7114963. The next prime is 7114973. The reversal of 7114968 is 8694117.

It is an interprime number because it is at equal distance from previous prime (7114963) and next prime (7114973).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7114963) 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, 9205 + ... + 9947.

It is an arithmetic number, because the mean of its divisors is an integer number (241800).

Almost surely, 27114968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7114968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

7114968 is an abundant number, since it is smaller than the sum of its proper divisors (16097832).

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

7114968 is a wasteful number, since it uses less digits than its factorization.

7114968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 7114968 is about 2667.3897353030. The cubic root of 7114968 is about 192.3347026512.

It can be divided in two parts, 71149 and 68, that added together give a palindrome (71217).

The spelling of 7114968 in words is "seven million, one hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 743 798 1064 1197 1368 1486 1596 2229 2394 2972 3192 4458 4788 5201 5944 6687 8916 9576 10402 13374 14117 15603 17832 20804 26748 28234 31206 41608 42351 46809 53496 56468 62412 84702 93618 98819 112936 124824 127053 169404 187236 197638 254106 296457 338808 374472 395276 508212 592914 790552 889371 1016424 1185828 1778742 2371656 3557484 7114968