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114649960 = 23516932
BaseRepresentation
bin1101101010101…
…10101101101000
321222201211011211
412311112231220
5213322244320
615213202504
72561336305
oct665265550
9258654154
10114649960
1159798237
1232490434
131a9a2a19
14113260ac
15a0ea55a
hex6d56b68

114649960 has 24 divisors (see below), whose sum is σ = 258114870. Its totient is φ = 45832896.

The previous prime is 114649949. The next prime is 114649961. The reversal of 114649960 is 69946411.

It can be written as a sum of positive squares in 3 ways, for example, as 79816356 + 34833604 = 8934^2 + 5902^2 .

It is a super-2 number, since 2×1146499602 = 26289226656003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (114649961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66874 + ... + 68566.

Almost surely, 2114649960 is an apocalyptic number.

114649960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114649960 is an abundant number, since it is smaller than the sum of its proper divisors (143464910).

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

114649960 is an frugal number, since it uses more digits than its factorization.

114649960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 114649960 is about 10707.4721573301. The cubic root of 114649960 is about 485.8005131145.

Multiplying 114649960 by its sum of digits (40), we get a square (4585998400 = 677202).

114649960 divided by its sum of digits (40) gives a square (2866249 = 16932).

The spelling of 114649960 in words is "one hundred fourteen million, six hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1693 3386 6772 8465 13544 16930 33860 67720 2866249 5732498 11464996 14331245 22929992 28662490 57324980 114649960