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10557414 = 2327233643
BaseRepresentation
bin101000010001…
…011111100110
3201212101001100
4220101133212
510200314124
61014140530
7155510430
oct50213746
921771040
1010557414
115a60a3a
123651746
1322584ba
14158b650
15dd81c9
hexa117e6

10557414 has 48 divisors (see below), whose sum is σ = 27286272. Its totient is φ = 2884464.

The previous prime is 10557409. The next prime is 10557431. The reversal of 10557414 is 41475501.

It is a happy number.

10557414 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105574142 = 222917980734792, which contains 22 as substring.

10557414 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077 + ... + 4719.

It is an arithmetic number, because the mean of its divisors is an integer number (568464).

Almost surely, 210557414 is an apocalyptic number.

10557414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10557414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643136).

10557414 is an abundant number, since it is smaller than the sum of its proper divisors (16728858).

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

10557414 is a wasteful number, since it uses less digits than its factorization.

10557414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 10557414 is about 3249.2174442472. The cubic root of 10557414 is about 219.3743519108.

The spelling of 10557414 in words is "ten million, five hundred fifty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 3643 7286 10929 21858 25501 32787 51002 65574 76503 83789 153006 167578 229509 251367 459018 502734 586523 754101 1173046 1508202 1759569 3519138 5278707 10557414