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114359872 = 2611612663
BaseRepresentation
bin1101101000011…
…11111001000000
321222012002020211
412310033321000
5213234003442
615203043504
72556020464
oct664177100
9258162224
10114359872
115960a2a0
1232370594
131a900983
141128c4a4
15a08e617
hex6d0fe40

114359872 has 56 divisors (see below), whose sum is σ = 251716032. Its totient is φ = 51110400.

The previous prime is 114359831. The next prime is 114359881. The reversal of 114359872 is 278953411.

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 7 ways as a sum of consecutive naturals, for example, 41613 + ... + 44275.

Almost surely, 2114359872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114359872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125858016).

114359872 is an abundant number, since it is smaller than the sum of its proper divisors (137356160).

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

114359872 is a wasteful number, since it uses less digits than its factorization.

114359872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2737 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 114359872 is about 10693.9175235271. The cubic root of 114359872 is about 485.3904419642.

The spelling of 114359872 in words is "one hundred fourteen million, three hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 671 704 976 1342 1952 2663 2684 3904 5326 5368 10652 10736 21304 21472 29293 42608 42944 58586 85216 117172 162443 170432 234344 324886 468688 649772 937376 1299544 1786873 1874752 2599088 3573746 5198176 7147492 10396352 14294984 28589968 57179936 114359872