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114840936 = 23337151503
BaseRepresentation
bin1101101100001…
…01010101101000
322000002112011000
412312011111220
5213344402221
615221235000
72563063140
oct666052550
9260075130
10114840936
1159908771
1232562a60
131aa3b922
1411375920
15a136e26
hex6d85568

114840936 has 128 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 32529600.

The previous prime is 114840911. The next prime is 114840937. The reversal of 114840936 is 639048411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114840936.

It is not an unprimeable number, because it can be changed into a prime (114840937) 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, 228061 + ... + 228563.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2114840936 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 114840936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

114840936 is an abundant number, since it is smaller than the sum of its proper divisors (252877464).

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

114840936 is a wasteful number, since it uses less digits than its factorization.

114840936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114840936 is about 10716.3863312219. The cubic root of 114840936 is about 486.0701011516.

The spelling of 114840936 in words is "one hundred fourteen million, eight hundred forty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 151 168 189 216 252 302 378 453 503 504 604 756 906 1006 1057 1208 1359 1509 1512 1812 2012 2114 2718 3018 3171 3521 3624 4024 4077 4228 4527 5436 6036 6342 7042 8154 8456 9054 9513 10563 10872 12072 12684 13581 14084 16308 18108 19026 21126 25368 27162 28168 28539 31689 32616 36216 38052 42252 54324 57078 63378 75953 76104 84504 95067 108648 114156 126756 151906 190134 227859 228312 253512 303812 380268 455718 531671 607624 683577 760536 911436 1063342 1367154 1595013 1822872 2050731 2126684 2734308 3190026 4101462 4253368 4785039 5468616 6380052 8202924 9570078 12760104 14355117 16405848 19140156 28710234 38280312 57420468 114840936