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14001020 = 22511232767
BaseRepresentation
bin110101011010…
…001101111100
3222100022210022
4311122031330
512041013040
61220031312
7230002205
oct65321574
928308708
1014001020
1179a31a0
124832538
132b92a37
141c065ac
1513686b5
hexd5a37c

14001020 has 48 divisors (see below), whose sum is σ = 33481728. Its totient is φ = 4868160.

The previous prime is 14001019. The next prime is 14001023. The reversal of 14001020 is 2010041.

It is a super-2 number, since 2×140010202 = 392057122080800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14000989 and 14001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001023) 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, 3677 + ... + 6443.

It is an arithmetic number, because the mean of its divisors is an integer number (697536).

Almost surely, 214001020 is an apocalyptic number.

14001020 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 14001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740864).

14001020 is an abundant number, since it is smaller than the sum of its proper divisors (19480708).

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

14001020 is a wasteful number, since it uses less digits than its factorization.

14001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 14001020 is about 3741.7936875247. The cubic root of 14001020 is about 241.0200794780.

Adding to 14001020 its reverse (2010041), we get a palindrome (16011061).

The spelling of 14001020 in words is "fourteen million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 2767 5060 5534 11068 13835 27670 30437 55340 60874 63641 121748 127282 152185 254564 304370 318205 608740 636410 700051 1272820 1400102 2800204 3500255 7000510 14001020