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83104840 = 23571317279
BaseRepresentation
bin1001111010000…
…01010001001000
312210101011102001
410331001101020
5132233323330
612125120344
72026244110
oct475012110
9183334361
1083104840
1142a01995
12239b90b4
13142a9680
14b074040
1574689ca
hex4f41448

83104840 has 192 divisors, whose sum is σ = 247564800. Its totient is φ = 24440832.

The previous prime is 83104837. The next prime is 83104843. The reversal of 83104840 is 4840138.

It is an interprime number because it is at equal distance from previous prime (83104837) and next prime (83104843).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 83104799 and 83104808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83104843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051921 + ... + 1051999.

It is an arithmetic number, because the mean of its divisors is an integer number (1289400).

Almost surely, 283104840 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 83104840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123782400).

83104840 is an abundant number, since it is smaller than the sum of its proper divisors (164459960).

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

83104840 is a wasteful number, since it uses less digits than its factorization.

83104840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 83104840 is about 9116.1856058332. The cubic root of 83104840 is about 436.3906523152.

Adding to 83104840 its reverse (4840138), we get a palindrome (87944978).

The spelling of 83104840 in words is "eighty-three million, one hundred four thousand, eight hundred forty".