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14164740 = 22335171543
BaseRepresentation
bin110110000010…
…001100000100
3222122122101000
4312002030010
512111232430
61223333300
7231253422
oct66021404
928578330
1014164740
117aa51a7
1248b1230
132c1c405
141c4a112
15139be60
hexd82304

14164740 has 96 divisors (see below), whose sum is σ = 46690560. Its totient is φ = 3552768.

The previous prime is 14164739. The next prime is 14164753. The reversal of 14164740 is 4746141.

14164740 is a `hidden beast` number, since 14 + 1 + 647 + 4 + 0 = 666.

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

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, 8409 + ... + 9951.

It is an arithmetic number, because the mean of its divisors is an integer number (486360).

Almost surely, 214164740 is an apocalyptic number.

14164740 is a gapful number since it is divisible by the number (10) 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 14164740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23345280).

14164740 is an abundant number, since it is smaller than the sum of its proper divisors (32525820).

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

14164740 is a wasteful number, since it uses less digits than its factorization.

14164740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14164740 is about 3763.6073121408. The cubic root of 14164740 is about 241.9558920591.

The spelling of 14164740 in words is "fourteen million, one hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1543 1836 2295 3060 3086 4590 4629 6172 7715 9180 9258 13887 15430 18516 23145 26231 27774 30860 41661 46290 52462 55548 69435 78693 83322 92580 104924 131155 138870 157386 166644 208305 236079 262310 277740 314772 393465 416610 472158 524620 708237 786930 833220 944316 1180395 1416474 1573860 2360790 2832948 3541185 4721580 7082370 14164740