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114595020 = 223351371549
BaseRepresentation
bin1101101010010…
…01010011001100
321222122000211000
412311021103030
5213314020040
615212100300
72561020161
oct665112314
9258560730
10114595020
115975aa31
1232464690
131a983a07
1411310068
15a0d9130
hex6d494cc

114595020 has 96 divisors (see below), whose sum is σ = 359352000. Its totient is φ = 30316032.

The previous prime is 114595009. The next prime is 114595057. The reversal of 114595020 is 20595411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73206 + ... + 74754.

It is an arithmetic number, because the mean of its divisors is an integer number (3743250).

Almost surely, 2114595020 is an apocalyptic number.

114595020 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 114595020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179676000).

114595020 is an abundant number, since it is smaller than the sum of its proper divisors (244756980).

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

114595020 is a wasteful number, since it uses less digits than its factorization.

114595020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 114595020 is about 10704.9063517623. The cubic root of 114595020 is about 485.7229025494.

The spelling of 114595020 in words is "one hundred fourteen million, five hundred ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1549 1644 2055 2466 2740 3098 3699 4110 4647 4932 6165 6196 7398 7745 8220 9294 12330 13941 14796 15490 18495 18588 23235 24660 27882 30980 36990 41823 46470 55764 69705 73980 83646 92940 139410 167292 209115 212213 278820 418230 424426 636639 836460 848852 1061065 1273278 1909917 2122130 2546556 3183195 3819834 4244260 5729751 6366390 7639668 9549585 11459502 12732780 19099170 22919004 28648755 38198340 57297510 114595020