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114518140 = 225112112467
BaseRepresentation
bin1101101001101…
…10100001111100
321222111010100121
412310312201330
5213304040030
615210304324
72560250062
oct664664174
9258433317
10114518140
11597081a0
12324280a4
131a957a19
14112d0032
15a0c147a
hex6d3687c

114518140 has 48 divisors (see below), whose sum is σ = 263700864. Its totient is φ = 41428800.

The previous prime is 114518119. The next prime is 114518197. The reversal of 114518140 is 41815411.

It is a super-2 number, since 2×1145181402 = 26228808778119200, which contains 22 as substring.

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, 45187 + ... + 47653.

It is an arithmetic number, because the mean of its divisors is an integer number (5493768).

Almost surely, 2114518140 is an apocalyptic number.

114518140 is a gapful number since it is divisible by the number (10) 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 114518140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131850432).

114518140 is an abundant number, since it is smaller than the sum of its proper divisors (149182724).

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

114518140 is a wasteful number, since it uses less digits than its factorization.

114518140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 114518140 is about 10701.3148724818. The cubic root of 114518140 is about 485.6142569594.

It can be divided in two parts, 11451 and 8140, that added together give a palindrome (19591).

The spelling of 114518140 in words is "one hundred fourteen million, five hundred eighteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 2467 4220 4642 4934 9284 9868 11605 12335 23210 24670 27137 46420 49340 54274 108548 135685 271370 520537 542740 1041074 2082148 2602685 5205370 5725907 10410740 11451814 22903628 28629535 57259070 114518140