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110002420 = 225111074673
BaseRepresentation
bin1101000111010…
…00000011110100
321122222200221201
412203220003310
5211130034140
614525422244
72504001523
oct643500364
9248880851
10110002420
11571034a0
1230a0a984
1319a364b8
14108764ba
1599cd49a
hex68e80f4

110002420 has 48 divisors (see below), whose sum is σ = 254415168. Its totient is φ = 39618560.

The previous prime is 110002397. The next prime is 110002441. The reversal of 110002420 is 24200011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110002397 and 110002406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21204 + ... + 25876.

It is an arithmetic number, because the mean of its divisors is an integer number (5300316).

Almost surely, 2110002420 is an apocalyptic number.

110002420 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 110002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127207584).

110002420 is an abundant number, since it is smaller than the sum of its proper divisors (144412748).

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

110002420 is a wasteful number, since it uses less digits than its factorization.

110002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 110002420 is about 10488.2038500403. The cubic root of 110002420 is about 479.1454993884.

Adding to 110002420 its reverse (24200011), we get a palindrome (134202431).

The spelling of 110002420 in words is "one hundred ten million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4673 4708 5885 9346 11770 18692 23365 23540 46730 51403 93460 102806 205612 257015 500011 514030 1000022 1028060 2000044 2500055 5000110 5500121 10000220 11000242 22000484 27500605 55001210 110002420