[go: up one dir, main page]

Search a number
-
+
10374216 = 2331747541
BaseRepresentation
bin100111100100…
…110001001000
3201112001202020
4213210301020
510123433331
61010204440
7154115346
oct47446110
921461666
1010374216
115946336
123583720
1321c2cb8
141540996
15d9dc96
hex9e4c48

10374216 has 64 divisors (see below), whose sum is σ = 28097280. Its totient is φ = 3179520.

The previous prime is 10374197. The next prime is 10374227. The reversal of 10374216 is 61247301.

It is a super-2 number, since 2×103742162 = 215248715229312, which contains 22 as substring.

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

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, 18906 + ... + 19446.

It is an arithmetic number, because the mean of its divisors is an integer number (439020).

Almost surely, 210374216 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 10374216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048640).

10374216 is an abundant number, since it is smaller than the sum of its proper divisors (17723064).

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

10374216 is a wasteful number, since it uses less digits than its factorization.

10374216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10374216 is about 3220.9029789797. The cubic root of 10374216 is about 218.0980396779.

It can be divided in two parts, 1037 and 4216, that added together give a triangular number (5253 = T102).

The spelling of 10374216 in words is "ten million, three hundred seventy-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 541 564 799 1082 1128 1598 1623 2164 2397 3196 3246 4328 4794 6392 6492 9197 9588 12984 18394 19176 25427 27591 36788 50854 55182 73576 76281 101708 110364 152562 203416 220728 305124 432259 610248 864518 1296777 1729036 2593554 3458072 5187108 10374216