Search a number
-
+
104307552 = 2532587617
BaseRepresentation
bin1100011011110…
…01101101100000
321021021101001200
412031321231200
5203200320202
614203401200
72404412436
oct615715540
9237241050
10104307552
1153973898
122ab23200
13187c135b
14dbd2d56
159255e1c
hex6379b60

104307552 has 72 divisors (see below), whose sum is σ = 297611496. Its totient is φ = 34653696.

The previous prime is 104307527. The next prime is 104307601. The reversal of 104307552 is 255703401.

It is a happy number.

104307552 is a `hidden beast` number, since 104 + 3 + 0 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168748 + ... + 169364.

It is an arithmetic number, because the mean of its divisors is an integer number (4133493).

Almost surely, 2104307552 is an apocalyptic number.

104307552 is a gapful number since it is divisible by the number (12) 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 104307552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148805748).

104307552 is an abundant number, since it is smaller than the sum of its proper divisors (193303944).

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

104307552 is a wasteful number, since it uses less digits than its factorization.

104307552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 104307552 is about 10213.1068730333. The cubic root of 104307552 is about 470.7300439587.

The spelling of 104307552 in words is "one hundred four million, three hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 587 617 1174 1234 1761 1851 2348 2468 3522 3702 4696 4936 5283 5553 7044 7404 9392 9872 10566 11106 14088 14808 18784 19744 21132 22212 28176 29616 42264 44424 56352 59232 84528 88848 169056 177696 362179 724358 1086537 1448716 2173074 2897432 3259611 4346148 5794864 6519222 8692296 11589728 13038444 17384592 26076888 34769184 52153776 104307552