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14845140 = 2233537743
BaseRepresentation
bin111000101000…
…010011010100
31000221012201000
4320220103110
512300021030
61250103300
7240116202
oct70502324
930835630
1014845140
11841a412
124b7ab30
1330ca00b
141d86072
151483860
hexe284d4

14845140 has 96 divisors (see below), whose sum is σ = 47496960. Its totient is φ = 3846528.

The previous prime is 14845139. The next prime is 14845147. The reversal of 14845140 is 4154841.

It is a happy number.

14845140 is a `hidden beast` number, since 148 + 4 + 514 + 0 = 666.

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 (14845147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19609 + ... + 20351.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 214845140 is an apocalyptic number.

14845140 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 14845140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

14845140 is an abundant number, since it is smaller than the sum of its proper divisors (32651820).

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

14845140 is a wasteful number, since it uses less digits than its factorization.

14845140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 14845140 is about 3852.9391378531. The cubic root of 14845140 is about 245.7695641038.

Adding to 14845140 its reverse (4154841), we get a palindrome (18999981).

The spelling of 14845140 in words is "fourteen million, eight hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 743 999 1110 1332 1486 1665 1998 2220 2229 2972 3330 3715 3996 4458 4995 6660 6687 7430 8916 9990 11145 13374 14860 19980 20061 22290 26748 27491 33435 40122 44580 54982 66870 80244 82473 100305 109964 133740 137455 164946 200610 247419 274910 329892 401220 412365 494838 549820 742257 824730 989676 1237095 1484514 1649460 2474190 2969028 3711285 4948380 7422570 14845140