Search a number
-
+
105045240 = 2335875377
BaseRepresentation
bin1100100001011…
…01110011111000
321022122211222110
412100231303320
5203342421430
614231252320
72413604226
oct620556370
9238584873
10105045240
1154328053
122b21a0a0
13189bc061
14dd45b16
15934e7b0
hex642dcf8

105045240 has 32 divisors (see below), whose sum is σ = 315136080. Its totient is φ = 28012032.

The previous prime is 105045211. The next prime is 105045247. The reversal of 105045240 is 42540501.

It is a super-2 number, since 2×1050452402 = 22069004893315200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105045247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437569 + ... + 437808.

Almost surely, 2105045240 is an apocalyptic number.

105045240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105045240 is an abundant number, since it is smaller than the sum of its proper divisors (210090840).

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

105045240 is a wasteful number, since it uses less digits than its factorization.

105045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875391 (or 875387 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105045240 is about 10249.1580141980. The cubic root of 105045240 is about 471.8371433747.

Adding to 105045240 its reverse (42540501), we get a palindrome (147585741).

The spelling of 105045240 in words is "one hundred five million, forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 875377 1750754 2626131 3501508 4376885 5252262 7003016 8753770 10504524 13130655 17507540 21009048 26261310 35015080 52522620 105045240