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102046416 = 24319111893
BaseRepresentation
bin1100001010100…
…01101011010000
321010000111100220
412011101223100
5202110441131
614043113040
72346244263
oct605215320
9233014326
10102046416
1152669a8a
122a212780
13181ac0c4
14d7a4cda
158e5ae96
hex6151ad0

102046416 has 40 divisors (see below), whose sum is σ = 277497120. Its totient is φ = 32224896.

The previous prime is 102046403. The next prime is 102046453. The reversal of 102046416 is 614640201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55035 + ... + 56858.

It is an arithmetic number, because the mean of its divisors is an integer number (6937428).

Almost surely, 2102046416 is an apocalyptic number.

102046416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102046416 is an abundant number, since it is smaller than the sum of its proper divisors (175450704).

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

102046416 is a wasteful number, since it uses less digits than its factorization.

102046416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111923 (or 111917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102046416 is about 10101.8026114154. The cubic root of 102046416 is about 467.3037349016.

Adding to 102046416 its reverse (614640201), we get a palindrome (716686617).

The spelling of 102046416 in words is "one hundred two million, forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 111893 223786 335679 447572 671358 895144 1342716 1790288 2125967 2685432 4251934 5370864 6377901 8503868 12755802 17007736 25511604 34015472 51023208 102046416