Search a number
-
+
10261992 = 23313311061
BaseRepresentation
bin100111001001…
…010111101000
3201022100210210
4213021113220
510111340432
61003541120
7153140226
oct47112750
921270723
1010261992
115879a94
12352a7a0
132183bb0
141511b16
15d7a8cc
hex9c95e8

10261992 has 64 divisors (see below), whose sum is σ = 28546560. Its totient is φ = 3052800.

The previous prime is 10261973. The next prime is 10262009. The reversal of 10261992 is 29916201.

It is a happy number.

10261992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9142 + ... + 10202.

It is an arithmetic number, because the mean of its divisors is an integer number (446040).

Almost surely, 210261992 is an apocalyptic number.

10261992 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 10261992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273280).

10261992 is an abundant number, since it is smaller than the sum of its proper divisors (18284568).

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

10261992 is a wasteful number, since it uses less digits than its factorization.

10261992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10261992 is about 3203.4344070076. The cubic root of 10261992 is about 217.3087551297.

It can be divided in two parts, 1026199 and 2, that added together give a palindrome (1026201).

The spelling of 10261992 in words is "ten million, two hundred sixty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1061 1209 1612 2122 2418 3183 3224 4244 4836 6366 8488 9672 12732 13793 25464 27586 32891 41379 55172 65782 82758 98673 110344 131564 165516 197346 263128 331032 394692 427583 789384 855166 1282749 1710332 2565498 3420664 5130996 10261992