Search a number
-
+
134633616 = 24313359601
BaseRepresentation
bin10000000011001…
…01100010010000
3100101100002121020
420001211202100
5233431233431
621205355440
73223236555
oct1001454220
9311302536
10134633616
1169aa7257
1239108b80
1321b7b880
1413c48a2c
15bc46696
hex8065890

134633616 has 80 divisors (see below), whose sum is σ = 376225920. Its totient is φ = 41241600.

The previous prime is 134633579. The next prime is 134633633. The reversal of 134633616 is 616336431.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223716 + ... + 224316.

It is an arithmetic number, because the mean of its divisors is an integer number (4702824).

Almost surely, 2134633616 is an apocalyptic number.

134633616 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 134633616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188112960).

134633616 is an abundant number, since it is smaller than the sum of its proper divisors (241592304).

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

134633616 is a wasteful number, since it uses less digits than its factorization.

134633616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 134633616 is about 11603.1726695762. The cubic root of 134633616 is about 512.5282836661.

It can be divided in two parts, 134633 and 616, that multiplied together give a palindrome (82933928).

The spelling of 134633616 in words is "one hundred thirty-four million, six hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 359 601 624 718 1077 1202 1436 1803 2154 2404 2872 3606 4308 4667 4808 5744 7212 7813 8616 9334 9616 14001 14424 15626 17232 18668 23439 28002 28848 31252 37336 46878 56004 62504 74672 93756 112008 125008 187512 215759 224016 375024 431518 647277 863036 1294554 1726072 2589108 2804867 3452144 5178216 5609734 8414601 10356432 11219468 16829202 22438936 33658404 44877872 67316808 134633616