Search a number
-
+
855023136 = 253115315277
BaseRepresentation
bin110010111101101…
…001111000100000
32012120212200020120
4302331221320200
53222341220021
6220502040240
730121401552
oct6275517040
92176780216
10855023136
113a97025a0
121ba419080
131081a9766
14817ad4d2
15500e52c6
hex32f69e20

855023136 has 96 divisors (see below), whose sum is σ = 2494836288. Its totient is φ = 254192640.

The previous prime is 855023131. The next prime is 855023149. The reversal of 855023136 is 631320558.

855023136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 855023097 and 855023106.

It is not an unprimeable number, because it can be changed into a prime (855023131) 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, 48330 + ... + 63606.

It is an arithmetic number, because the mean of its divisors is an integer number (25987878).

Almost surely, 2855023136 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 855023136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247418144).

855023136 is an abundant number, since it is smaller than the sum of its proper divisors (1639813152).

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

855023136 is a wasteful number, since it uses less digits than its factorization.

855023136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 855023136 is about 29240.7786490032. The cubic root of 855023136 is about 949.1305566951.

The spelling of 855023136 in words is "eight hundred fifty-five million, twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 9328 13992 15277 18656 27984 30554 45831 55968 61108 91662 122216 168047 183324 244432 336094 366648 488864 504141 672188 733296 809681 1008282 1344376 1466592 1619362 2016564 2429043 2688752 3238724 4033128 4858086 5377504 6477448 8066256 8906491 9716172 12954896 16132512 17812982 19432344 25909792 26719473 35625964 38864688 53438946 71251928 77729376 106877892 142503856 213755784 285007712 427511568 855023136