Search a number
-
+
10954216 = 2371341367
BaseRepresentation
bin101001110010…
…010111101000
3202121112100201
4221302113220
510301013331
61030441544
7162052330
oct51622750
922545321
1010954216
116202079
1238032b4
132366cb0
1416520c0
15e65a61
hexa725e8

10954216 has 64 divisors (see below), whose sum is σ = 25966080. Its totient is φ = 4216320.

The previous prime is 10954201. The next prime is 10954231. The reversal of 10954216 is 61245901.

10954216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10954201) and next prime (10954231).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 29665 + ... + 30031.

It is an arithmetic number, because the mean of its divisors is an integer number (405720).

Almost surely, 210954216 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 10954216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983040).

10954216 is an abundant number, since it is smaller than the sum of its proper divisors (15011864).

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

10954216 is a wasteful number, since it uses less digits than its factorization.

10954216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 10954216 is about 3309.7153956194. The cubic root of 10954216 is about 222.0890263289.

The spelling of 10954216 in words is "ten million, nine hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 182 287 328 364 367 533 574 728 734 1066 1148 1468 2132 2296 2569 2936 3731 4264 4771 5138 7462 9542 10276 14924 15047 19084 20552 29848 30094 33397 38168 60188 66794 105329 120376 133588 195611 210658 267176 391222 421316 782444 842632 1369277 1564888 2738554 5477108 10954216