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114311988 = 22327716389
BaseRepresentation
bin1101101000001…
…00001100110100
321222002122120100
412310010030310
5213230440423
615202034100
72555431050
oct664041464
9258078510
10114311988
115958731a
1232348930
131a8b4c3b
1411278c60
15a080343
hex6d04334

114311988 has 72 divisors (see below), whose sum is σ = 334938240. Its totient is φ = 32195520.

The previous prime is 114311957. The next prime is 114312007. The reversal of 114311988 is 889113411.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14698 + ... + 21086.

It is an arithmetic number, because the mean of its divisors is an integer number (4651920).

Almost surely, 2114311988 is an apocalyptic number.

114311988 is a gapful number since it is divisible by the number (18) 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 114311988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167469120).

114311988 is an abundant number, since it is smaller than the sum of its proper divisors (220626252).

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

114311988 is a wasteful number, since it uses less digits than its factorization.

114311988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6472 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 114311988 is about 10691.6784463432. The cubic root of 114311988 is about 485.3226860278.

It can be divided in two parts, 1143 and 11988, that added together give a palindrome (13131).

The spelling of 114311988 in words is "one hundred fourteen million, three hundred eleven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 6389 8946 12778 17892 19167 25556 38334 44723 57501 76668 89446 115002 134169 178892 230004 268338 402507 453619 536676 805014 907238 1360857 1610028 1814476 2721714 3175333 4082571 5443428 6350666 8165142 9525999 12701332 16330284 19051998 28577997 38103996 57155994 114311988