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8114406 = 2317195379
BaseRepresentation
bin11110111101000011100110
3120021020212120
4132331003212
54034130111
6445530410
7125654106
oct36750346
916236776
108114406
114642523
122873a06
1318b1531
141113206
15aa4406
hex7bd0e6

8114406 has 64 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 2336256.

The previous prime is 8114383. The next prime is 8114429. The reversal of 8114406 is 6044118.

8114406 is a nontrivial binomial coefficient, being equal to C(4029, 2).

It is an interprime number because it is at equal distance from previous prime (8114383) and next prime (8114429).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102675 + ... + 102753.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 28114406 is an apocalyptic number.

8114406 is the 4028-th triangular number.

8114406 is an abundant number, since it is smaller than the sum of its proper divisors (10547994).

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

8114406 is a wasteful number, since it uses less digits than its factorization.

8114406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8114406 is about 2848.5796460692. The cubic root of 8114406 is about 200.9488744008.

The spelling of 8114406 in words is "eight million, one hundred fourteen thousand, four hundred six".

Divisors: 1 2 3 6 17 19 34 38 51 53 57 79 102 106 114 158 159 237 318 323 474 646 901 969 1007 1343 1501 1802 1938 2014 2686 2703 3002 3021 4029 4187 4503 5406 6042 8058 8374 9006 12561 17119 25122 25517 34238 51034 51357 71179 76551 79553 102714 142358 153102 159106 213537 238659 427074 477318 1352401 2704802 4057203 8114406