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10368414 = 2327196171
BaseRepresentation
bin100111100011…
…010110011110
3201111202210100
4213203112132
510123242124
61010121530
7154062420
oct47432636
921452710
1010368414
115941a41
1235802a6
1321c0474
14153c810
15d9c1c9
hex9e359e

10368414 has 96 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 2721600.

The previous prime is 10368403. The next prime is 10368439. The reversal of 10368414 is 41486301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145999 + ... + 146069.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 210368414 is an apocalyptic number.

10368414 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 10368414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

10368414 is an abundant number, since it is smaller than the sum of its proper divisors (17486946).

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

10368414 is a wasteful number, since it uses less digits than its factorization.

10368414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10368414 is about 3220.0021739123. The cubic root of 10368414 is about 218.0573734466.

The spelling of 10368414 in words is "ten million, three hundred sixty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 61 63 71 114 122 126 133 142 171 183 213 266 342 366 399 426 427 497 549 639 798 854 994 1098 1159 1197 1278 1281 1349 1491 2318 2394 2562 2698 2982 3477 3843 4047 4331 4473 6954 7686 8094 8113 8662 8946 9443 10431 12141 12993 16226 18886 20862 24282 24339 25986 28329 30317 38979 48678 56658 60634 73017 77958 82289 84987 90951 146034 164578 169974 181902 246867 272853 493734 545706 576023 740601 1152046 1481202 1728069 3456138 5184207 10368414