Search a number
-
+
10932072 = 23329113139
BaseRepresentation
bin101001101100…
…111101101000
3202120101222120
4221230331220
510244311242
61030151240
7161630634
oct51547550
922511876
1010932072
116197478
1237b2520
132359ba8
141647dc4
15e5e1ec
hexa6cf68

10932072 has 64 divisors (see below), whose sum is σ = 28728000. Its totient is φ = 3462144.

The previous prime is 10932041. The next prime is 10932073. The reversal of 10932072 is 27023901.

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

It is not an unprimeable number, because it can be changed into a prime (10932073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78579 + ... + 78717.

It is an arithmetic number, because the mean of its divisors is an integer number (448875).

Almost surely, 210932072 is an apocalyptic number.

10932072 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 10932072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364000).

10932072 is an abundant number, since it is smaller than the sum of its proper divisors (17795928).

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

10932072 is a wasteful number, since it uses less digits than its factorization.

10932072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10932072 is about 3306.3684005265. The cubic root of 10932072 is about 221.9392740325.

Adding to 10932072 its reverse (27023901), we get a palindrome (37955973).

The spelling of 10932072 in words is "ten million, nine hundred thirty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 113 116 139 174 226 232 278 339 348 417 452 556 678 696 834 904 1112 1356 1668 2712 3277 3336 4031 6554 8062 9831 12093 13108 15707 16124 19662 24186 26216 31414 32248 39324 47121 48372 62828 78648 94242 96744 125656 188484 376968 455503 911006 1366509 1822012 2733018 3644024 5466036 10932072