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8141364 = 2233711289
BaseRepresentation
bin11111000011101000110100
3120022121212000
4133003220310
54041010424
6450255300
7126125520
oct37035064
916277760
108141364
114660800
122887530
1318c089a
14111cd80
15aac3c9
hex7c3a34

8141364 has 144 divisors (see below), whose sum is σ = 26812800. Its totient is φ = 2090880.

The previous prime is 8141363. The next prime is 8141377. The reversal of 8141364 is 4631418.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8141363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91432 + ... + 91520.

It is an arithmetic number, because the mean of its divisors is an integer number (186200).

Almost surely, 28141364 is an apocalyptic number.

8141364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8141364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406400).

8141364 is an abundant number, since it is smaller than the sum of its proper divisors (18671436).

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

8141364 is a wasteful number, since it uses less digits than its factorization.

8141364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

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

The square root of 8141364 is about 2853.3075544007. The cubic root of 8141364 is about 201.1711618464.

The spelling of 8141364 in words is "eight million, one hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 89 99 108 121 126 132 154 178 189 198 231 242 252 267 297 308 356 363 378 396 462 484 534 594 623 693 726 756 801 847 924 979 1068 1089 1188 1246 1386 1452 1602 1694 1869 1958 2079 2178 2403 2492 2541 2772 2937 3204 3267 3388 3738 3916 4158 4356 4806 5082 5607 5874 6534 6853 7476 7623 8316 8811 9612 10164 10769 11214 11748 13068 13706 15246 16821 17622 20559 21538 22428 22869 26433 27412 30492 32307 33642 35244 41118 43076 45738 52866 61677 64614 67284 75383 82236 91476 96921 105732 123354 129228 150766 185031 193842 226149 246708 290763 301532 370062 387684 452298 581526 678447 740124 904596 1163052 1356894 2035341 2713788 4070682 8141364