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14690040 = 23351719379
BaseRepresentation
bin111000000010…
…011011111000
31000122022221120
4320002123320
512230040130
61242505240
7235602051
oct70023370
930568846
1014690040
118323932
124b05220
133074541
141d45728
151452910
hexe026f8

14690040 has 128 divisors (see below), whose sum is σ = 49248000. Its totient is φ = 3483648.

The previous prime is 14690033. The next prime is 14690041. The reversal of 14690040 is 4009641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14690041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38571 + ... + 38949.

It is an arithmetic number, because the mean of its divisors is an integer number (384750).

Almost surely, 214690040 is an apocalyptic number.

14690040 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 14690040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624000).

14690040 is an abundant number, since it is smaller than the sum of its proper divisors (34557960).

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

14690040 is a wasteful number, since it uses less digits than its factorization.

14690040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 14690040 is about 3832.7587975243. The cubic root of 14690040 is about 244.9106435210.

Adding to 14690040 its reverse (4009641), we get a palindrome (18699681).

The spelling of 14690040 in words is "fourteen million, six hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 379 380 408 456 510 570 646 680 758 760 969 1020 1137 1140 1292 1516 1615 1895 1938 2040 2274 2280 2584 3032 3230 3790 3876 4548 4845 5685 6443 6460 7201 7580 7752 9096 9690 11370 12886 12920 14402 15160 19329 19380 21603 22740 25772 28804 32215 36005 38658 38760 43206 45480 51544 57608 64430 72010 77316 86412 96645 108015 122417 128860 144020 154632 172824 193290 216030 244834 257720 288040 367251 386580 432060 489668 612085 734502 773160 864120 979336 1224170 1469004 1836255 2448340 2938008 3672510 4896680 7345020 14690040