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116103840 = 2535241883
BaseRepresentation
bin1101110101110…
…01101010100000
322002110200112020
412322321222200
5214210310330
615304301440
72606603106
oct672715240
9262420466
10116103840
115a5a0596
1232a71880
131b0916c8
14115c3c76
15a2d6210
hex6eb9aa0

116103840 has 48 divisors (see below), whose sum is σ = 365728608. Its totient is φ = 30960896.

The previous prime is 116103821. The next prime is 116103847. The reversal of 116103840 is 48301611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 116103840.

It is not an unprimeable number, because it can be changed into a prime (116103847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120462 + ... + 121421.

It is an arithmetic number, because the mean of its divisors is an integer number (7619346).

Almost surely, 2116103840 is an apocalyptic number.

116103840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116103840 is an abundant number, since it is smaller than the sum of its proper divisors (249624768).

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

116103840 is a wasteful number, since it uses less digits than its factorization.

116103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241901 (or 241893 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 116103840 is about 10775.1491869022. The cubic root of 116103840 is about 487.8453778699.

The spelling of 116103840 in words is "one hundred sixteen million, one hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 241883 483766 725649 967532 1209415 1451298 1935064 2418830 2902596 3628245 3870128 4837660 5805192 7256490 7740256 9675320 11610384 14512980 19350640 23220768 29025960 38701280 58051920 116103840