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116435440 = 24511132313
BaseRepresentation
bin1101111000010…
…10100111110000
322010002112101201
412330022213300
5214301413230
615315340544
72612453632
oct674124760
9263075351
10116435440
115a7a7740
1232bb1754
131b179614
141166ca52
15a34e5ca
hex6f0a9f0

116435440 has 40 divisors (see below), whose sum is σ = 295324848. Its totient is φ = 42339840.

The previous prime is 116435437. The next prime is 116435467. The reversal of 116435440 is 44534611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 116435399 and 116435408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65277 + ... + 67036.

Almost surely, 2116435440 is an apocalyptic number.

116435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116435440 is an abundant number, since it is smaller than the sum of its proper divisors (178889408).

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

116435440 is a wasteful number, since it uses less digits than its factorization.

116435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132337 (or 132331 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 116435440 is about 10790.5254737663. The cubic root of 116435440 is about 488.3093756245.

The spelling of 116435440 in words is "one hundred sixteen million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 132313 264626 529252 661565 1058504 1323130 1455443 2117008 2646260 2910886 5292520 5821772 7277215 10585040 11643544 14554430 23287088 29108860 58217720 116435440