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14154240 = 29351997
BaseRepresentation
bin110101111111…
…101000000000
3222122002222010
4311333220000
512110413430
61223212520
7231211002
oct65775000
928562863
1014154240
117a98321
1248a7140
132c176b9
141c46372
151398cb0
hexd7fa00

14154240 has 160 divisors (see below), whose sum is σ = 48121920. Its totient is φ = 3538944.

The previous prime is 14154229. The next prime is 14154247. The reversal of 14154240 is 4245141.

It is a happy number.

14154240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14154247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145872 + ... + 145968.

It is an arithmetic number, because the mean of its divisors is an integer number (300762).

Almost surely, 214154240 is an apocalyptic number.

14154240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14154240 is the 3072-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060960).

14154240 is an abundant number, since it is smaller than the sum of its proper divisors (33967680).

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

14154240 is an equidigital number, since it uses as much as digits as its factorization.

14154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 14154240 is about 3762.2121152322. The cubic root of 14154240 is about 241.8960918116.

Adding to 14154240 its reverse (4245141), we get a palindrome (18399381).

Subtracting from 14154240 its reverse (4245141), we obtain a palindrome (9909099).

The spelling of 14154240 in words is "fourteen million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 97 114 120 128 152 160 190 192 194 228 240 256 285 291 304 320 380 384 388 456 480 485 512 570 582 608 640 760 768 776 912 960 970 1140 1164 1216 1280 1455 1520 1536 1552 1824 1843 1920 1940 2280 2328 2432 2560 2910 3040 3104 3648 3686 3840 3880 4560 4656 4864 5529 5820 6080 6208 7296 7372 7680 7760 9120 9215 9312 9728 11058 11640 12160 12416 14592 14744 15520 18240 18430 18624 22116 23280 24320 24832 27645 29184 29488 31040 36480 36860 37248 44232 46560 48640 49664 55290 58976 62080 72960 73720 74496 88464 93120 110580 117952 124160 145920 147440 148992 176928 186240 221160 235904 248320 294880 353856 372480 442320 471808 589760 707712 744960 884640 943616 1179520 1415424 1769280 2359040 2830848 3538560 4718080 7077120 14154240