Search a number
-
+
10692045 = 3257213373
BaseRepresentation
bin101000110010…
…010111001101
3202010012201200
4220302113031
510214121140
61021100113
7156611100
oct50622715
922105650
1010692045
116043101
1236b7639
1322a4870
1415c4737
15e13030
hexa325cd

10692045 has 72 divisors (see below), whose sum is σ = 23279256. Its totient is φ = 4499712.

The previous prime is 10692043. The next prime is 10692049. The reversal of 10692045 is 54029601.

10692045 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 233289 + 10458756 = 483^2 + 3234^2 .

It is not a de Polignac number, because 10692045 - 21 = 10692043 is a prime.

It is a super-2 number, since 2×106920452 = 228639652564050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10692043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28479 + ... + 28851.

It is an arithmetic number, because the mean of its divisors is an integer number (323323).

Almost surely, 210692045 is an apocalyptic number.

10692045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10692045 is an abundant number, since it is smaller than the sum of its proper divisors (12587211).

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

10692045 is a wasteful number, since it uses less digits than its factorization.

10692045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10692045 is about 3269.8692634416. The cubic root of 10692045 is about 220.3029229276.

The spelling of 10692045 in words is "ten million, six hundred ninety-two thousand, forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 373 441 455 585 637 735 819 1119 1365 1865 1911 2205 2611 3185 3357 4095 4849 5595 5733 7833 9555 13055 14547 16785 18277 23499 24245 28665 33943 39165 43641 54831 72735 91385 101829 117495 164493 169715 218205 237601 274155 305487 509145 712803 822465 1188005 1527435 2138409 3564015 10692045