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114407490 = 23559109593
BaseRepresentation
bin1101101000110…
…11100001000010
321222021111120110
412310123201002
5213242014430
615204052150
72556306351
oct664334102
9258244513
10114407490
115964204a
1232394056
131a919552
14112a1998
15a09d7b0
hex6d1b842

114407490 has 64 divisors (see below), whose sum is σ = 282268800. Its totient is φ = 29666304.

The previous prime is 114407473. The next prime is 114407521. The reversal of 114407490 is 94704411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192634 + ... + 193226.

It is an arithmetic number, because the mean of its divisors is an integer number (4410450).

Almost surely, 2114407490 is an apocalyptic number.

114407490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114407490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141134400).

114407490 is an abundant number, since it is smaller than the sum of its proper divisors (167861310).

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

114407490 is a wasteful number, since it uses less digits than its factorization.

114407490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 114407490 is about 10696.1436976136. The cubic root of 114407490 is about 485.4578027566.

The spelling of 114407490 in words is "one hundred fourteen million, four hundred seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 59 109 118 177 218 295 327 354 545 590 593 654 885 1090 1186 1635 1770 1779 2965 3270 3558 5930 6431 8895 12862 17790 19293 32155 34987 38586 64310 64637 69974 96465 104961 129274 174935 192930 193911 209922 323185 349870 387822 524805 646370 969555 1049610 1939110 3813583 7627166 11440749 19067915 22881498 38135830 57203745 114407490