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114057930 = 23571743743
BaseRepresentation
bin1101100110001…
…10001011001010
321221121202001210
412303012023022
5213144323210
615152353550
72553322260
oct663061312
9257552053
10114057930
1159423458
12322458b6
131a8263cc
1411210430
15a02ee20
hex6cc62ca

114057930 has 128 divisors (see below), whose sum is σ = 339406848. Its totient is φ = 23933952.

The previous prime is 114057929. The next prime is 114057953. The reversal of 114057930 is 39750411.

It is a super-2 number, since 2×1140579302 = 26018422791769800, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 153139 + ... + 153881.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2114057930 is an apocalyptic number.

114057930 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 114057930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169703424).

114057930 is an abundant number, since it is smaller than the sum of its proper divisors (225348918).

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

114057930 is a wasteful number, since it uses less digits than its factorization.

114057930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 114057930 is about 10679.7907282868. The cubic root of 114057930 is about 484.9628766711.

The spelling of 114057930 in words is "one hundred fourteen million, fifty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 43 51 70 85 86 102 105 119 129 170 210 215 238 255 258 301 357 430 510 595 602 645 714 731 743 903 1190 1290 1462 1486 1505 1785 1806 2193 2229 3010 3570 3655 3715 4386 4458 4515 5117 5201 7310 7430 9030 10234 10402 10965 11145 12631 15351 15603 21930 22290 25262 25585 26005 30702 31206 31949 37893 51170 52010 63155 63898 75786 76755 78015 88417 95847 126310 153510 156030 159745 176834 189465 191694 223643 265251 319490 378930 442085 447286 479235 530502 543133 670929 884170 958470 1086266 1118215 1326255 1341858 1629399 2236430 2652510 2715665 3258798 3354645 3801931 5431330 6709290 7603862 8146995 11405793 16293990 19009655 22811586 38019310 57028965 114057930