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114020634 = 237131929379
BaseRepresentation
bin1101100101111…
…01000100011010
321221112211220110
412302331010122
5213142130014
615151505150
72553105450
oct662750432
9257484813
10114020634
11593a8432
12322281b6
131a812440
14112009d0
15a023d59
hex6cbd11a

114020634 has 128 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 27433728.

The previous prime is 114020633. The next prime is 114020639. The reversal of 114020634 is 436020411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 114020634.

It is not an unprimeable number, because it can be changed into a prime (114020633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300657 + ... + 301035.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2114020634 is an apocalyptic number.

114020634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114020634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216000).

114020634 is an abundant number, since it is smaller than the sum of its proper divisors (192411366).

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

114020634 is a wasteful number, since it uses less digits than its factorization.

114020634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114020634 is about 10678.0444838931. The cubic root of 114020634 is about 484.9100112916.

The spelling of 114020634 in words is "one hundred fourteen million, twenty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 19 21 26 29 38 39 42 57 58 78 87 91 114 133 174 182 203 247 266 273 377 379 399 406 494 546 551 609 741 754 758 798 1102 1131 1137 1218 1482 1653 1729 2262 2274 2639 2653 3306 3458 3857 4927 5187 5278 5306 7163 7201 7714 7917 7959 9854 10374 10991 11571 14326 14402 14781 15834 15918 21489 21603 21982 23142 29562 32973 34489 42978 43206 50141 50407 65946 68978 76937 93613 100282 100814 103467 142883 150423 151221 153874 187226 206934 208829 230811 280839 285766 300846 302442 417658 428649 461622 561678 626487 655291 857298 1000181 1252974 1310582 1461803 1965873 2000362 2714777 2923606 3000543 3931746 4385409 5429554 6001086 8144331 8770818 16288662 19003439 38006878 57010317 114020634