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104530416 = 24317532417
BaseRepresentation
bin1100011101100…
…00000111110000
321021200200202220
412032300013300
5203224433131
614212241040
72406331254
oct616600760
9237620686
10104530416
1154006281
122b010180
131886b923
14dc50264
15929be96
hex63b01f0

104530416 has 80 divisors (see below), whose sum is σ = 291436704. Its totient is φ = 32161792.

The previous prime is 104530409. The next prime is 104530417. The reversal of 104530416 is 614035401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104530417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42040 + ... + 44456.

Almost surely, 2104530416 is an apocalyptic number.

104530416 is a gapful number since it is divisible by the number (16) 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 104530416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145718352).

104530416 is an abundant number, since it is smaller than the sum of its proper divisors (186906288).

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

104530416 is a wasteful number, since it uses less digits than its factorization.

104530416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 104530416 is about 10224.0117370825. The cubic root of 104530416 is about 471.0650601388.

Adding to 104530416 its reverse (614035401), we get a palindrome (718565817).

The spelling of 104530416 in words is "one hundred four million, five hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 816 848 901 1272 1802 2417 2544 2703 3604 4834 5406 7208 7251 9668 10812 14416 14502 19336 21624 29004 38672 41089 43248 58008 82178 116016 123267 128101 164356 246534 256202 328712 384303 493068 512404 657424 768606 986136 1024808 1537212 1972272 2049616 2177717 3074424 4355434 6148848 6533151 8710868 13066302 17421736 26132604 34843472 52265208 104530416