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114058152 = 233313151269
BaseRepresentation
bin1101100110001…
…10001110101000
321221121202101000
412303012032220
5213144330102
615152355000
72553323025
oct663061650
9257552330
10114058152
115942363a
1232245a60
131a826540
141121054c
15a03001c
hex6cc63a8

114058152 has 128 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 34732800.

The previous prime is 114058141. The next prime is 114058157. The reversal of 114058152 is 251850411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114058157) by changing a digit.

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, 423874 + ... + 424142.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2114058152 is an apocalyptic number.

114058152 is a gapful number since it is divisible by the number (12) 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 114058152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

114058152 is an abundant number, since it is smaller than the sum of its proper divisors (230677848).

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

114058152 is a wasteful number, since it uses less digits than its factorization.

114058152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 114058152 is about 10679.8011217438. The cubic root of 114058152 is about 484.9631913114.

The spelling of 114058152 in words is "one hundred fourteen million, fifty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 151 156 216 234 269 302 312 351 453 468 538 604 702 807 906 936 1076 1208 1359 1404 1614 1812 1963 2152 2421 2718 2808 3228 3497 3624 3926 4077 4842 5436 5889 6456 6994 7263 7852 8154 9684 10491 10872 11778 13988 14526 15704 16308 17667 19368 20982 23556 27976 29052 31473 32616 35334 40619 41964 47112 53001 58104 62946 70668 81238 83928 94419 106002 121857 125892 141336 162476 188838 212004 243714 251784 324952 365571 377676 424008 487428 528047 731142 755352 974856 1056094 1096713 1462284 1584141 2112188 2193426 2924568 3168282 4224376 4386852 4752423 6336564 8773704 9504846 12673128 14257269 19009692 28514538 38019384 57029076 114058152