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114173928 = 233311291657
BaseRepresentation
bin1101100111000…
…10011111101000
321221211122012000
412303202133220
5213212031203
615155051000
72554314411
oct663423750
9257748160
10114173928
11594a2620
12322a0a60
131a86714b
1411240808
15a0544a3
hex6ce27e8

114173928 has 128 divisors (see below), whose sum is σ = 358128000. Its totient is φ = 33384960.

The previous prime is 114173867. The next prime is 114173929. The reversal of 114173928 is 829371411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114173892 and 114173901.

It is not an unprimeable number, because it can be changed into a prime (114173929) 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, 68076 + ... + 69732.

It is an arithmetic number, because the mean of its divisors is an integer number (2797875).

Almost surely, 2114173928 is an apocalyptic number.

114173928 is a gapful number since it is divisible by the number (18) 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 114173928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179064000).

114173928 is an abundant number, since it is smaller than the sum of its proper divisors (243954072).

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

114173928 is a wasteful number, since it uses less digits than its factorization.

114173928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1702 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 114173928 is about 10685.2200726050. The cubic root of 114173928 is about 485.1272249223.

The spelling of 114173928 in words is "one hundred fourteen million, one hundred seventy-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 396 522 594 638 696 783 792 957 1044 1188 1276 1566 1657 1914 2088 2376 2552 2871 3132 3314 3828 4971 5742 6264 6628 7656 8613 9942 11484 13256 14913 17226 18227 19884 22968 29826 34452 36454 39768 44739 48053 54681 59652 68904 72908 89478 96106 109362 119304 144159 145816 164043 178956 192212 218724 288318 328086 357912 384424 432477 437448 492129 528583 576636 656172 864954 984258 1057166 1153272 1297431 1312344 1585749 1729908 1968516 2114332 2594862 3171498 3459816 3937032 4228664 4757247 5189724 6342996 9514494 10379448 12685992 14271741 19028988 28543482 38057976 57086964 114173928