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14146440 = 23357111531
BaseRepresentation
bin110101111101…
…101110001000
3222121201021020
4311331232020
512110141230
61223112440
7231146160
oct65755610
928551236
1014146440
117a92480
1248a2720
132c13c99
141c435a0
151396810
hexd7db88

14146440 has 128 divisors (see below), whose sum is σ = 52945920. Its totient is φ = 2937600.

The previous prime is 14146439. The next prime is 14146453. The reversal of 14146440 is 4464141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14146440.

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, 8475 + ... + 10005.

It is an arithmetic number, because the mean of its divisors is an integer number (413640).

Almost surely, 214146440 is an apocalyptic number.

14146440 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 14146440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26472960).

14146440 is an abundant number, since it is smaller than the sum of its proper divisors (38799480).

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

14146440 is a wasteful number, since it uses less digits than its factorization.

14146440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14146440 is about 3761.1753482123. The cubic root of 14146440 is about 241.8516496231.

The spelling of 14146440 in words is "fourteen million, one hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1531 1540 1848 2310 3062 3080 4593 4620 6124 7655 9186 9240 10717 12248 15310 16841 18372 21434 22965 30620 32151 33682 36744 42868 45930 50523 53585 61240 64302 67364 84205 85736 91860 101046 107170 117887 128604 134728 160755 168410 183720 202092 214340 235774 252615 257208 321510 336820 353661 404184 428680 471548 505230 589435 643020 673640 707322 943096 1010460 1178870 1286040 1414644 1768305 2020920 2357740 2829288 3536610 4715480 7073220 14146440