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116648420 = 22572373217
BaseRepresentation
bin1101111001111…
…10100111100100
322010111100112212
412330332213210
5214330222140
615324102552
72614331600
oct674764744
9263440485
10116648420
115a932759
1233094a58
131b222545
14116c6500
15a392765
hex6f3e9e4

116648420 has 72 divisors (see below), whose sum is σ = 292747896. Its totient is φ = 38900736.

The previous prime is 116648377. The next prime is 116648423. The reversal of 116648420 is 24846611.

It can be written as a sum of positive squares in 4 ways, for example, as 58003456 + 58644964 = 7616^2 + 7658^2 .

It is not an unprimeable number, because it can be changed into a prime (116648423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34652 + ... + 37868.

It is an arithmetic number, because the mean of its divisors is an integer number (4065943).

Almost surely, 2116648420 is an apocalyptic number.

116648420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116648420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146373948).

116648420 is an abundant number, since it is smaller than the sum of its proper divisors (176099476).

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

116648420 is a wasteful number, since it uses less digits than its factorization.

116648420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 116648420 is about 10800.3898077801. The cubic root of 116648420 is about 488.6069275953.

The spelling of 116648420 in words is "one hundred sixteen million, six hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3217 3626 5180 6434 7252 9065 12868 16085 18130 22519 32170 36260 45038 64340 90076 112595 119029 157633 225190 238058 315266 450380 476116 595145 630532 788165 833203 1190290 1576330 1666406 2380580 3152660 3332812 4166015 5832421 8332030 11664842 16664060 23329684 29162105 58324210 116648420