Search a number
-
+
10787172 = 22311711151
BaseRepresentation
bin101001001001…
…100101100100
3202022001012220
4221021211210
510230142142
61023112340
7160455324
oct51114544
922261186
1010787172
1160a8620
1237426b0
132308c56
14160b284
15e312ec
hexa49964

10787172 has 48 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 3220000.

The previous prime is 10787167. The next prime is 10787173. The reversal of 10787172 is 27178701.

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

It is not an unprimeable number, because it can be changed into a prime (10787173) 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, 8797 + ... + 9947.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 210787172 is an apocalyptic number.

10787172 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 10787172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

10787172 is an abundant number, since it is smaller than the sum of its proper divisors (17082012).

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

10787172 is a wasteful number, since it uses less digits than its factorization.

10787172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 10787172 is about 3284.3830470881. The cubic root of 10787172 is about 220.9543390307.

The spelling of 10787172 in words is "ten million, seven hundred eighty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1151 1562 2302 2343 3124 3453 4604 4686 6906 9372 12661 13812 25322 37983 50644 75966 81721 151932 163442 245163 326884 490326 898931 980652 1797862 2696793 3595724 5393586 10787172