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114079420 = 225713193299
BaseRepresentation
bin1101100110010…
…11011010111100
321221122211112201
412303023122330
5213201020140
615153041244
72553442030
oct663133274
9257584481
10114079420
1159438614
1232256224
131a833120
14112181c0
15a03649a
hex6ccb6bc

114079420 has 96 divisors (see below), whose sum is σ = 310464000. Its totient is φ = 34193664.

The previous prime is 114079409. The next prime is 114079421. The reversal of 114079420 is 24970411.

It is a super-2 number, since 2×1140794202 = 26028228135072800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114079421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32931 + ... + 36229.

It is an arithmetic number, because the mean of its divisors is an integer number (3234000).

Almost surely, 2114079420 is an apocalyptic number.

114079420 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 114079420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232000).

114079420 is an abundant number, since it is smaller than the sum of its proper divisors (196384580).

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

114079420 is a wasteful number, since it uses less digits than its factorization.

114079420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 114079420 is about 10680.7967867571. The cubic root of 114079420 is about 484.9933325331.

The spelling of 114079420 in words is "one hundred fourteen million, seventy-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 3299 3458 4940 6598 6916 8645 13196 16495 17290 23093 32990 34580 42887 46186 62681 65980 85774 92372 115465 125362 171548 214435 230930 250724 300209 313405 428870 438767 461860 600418 626810 814853 857740 877534 1200836 1253620 1501045 1629706 1755068 2193835 3002090 3259412 4074265 4387670 5703971 6004180 8148530 8775340 11407942 16297060 22815884 28519855 57039710 114079420