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45106240 = 265314547
BaseRepresentation
bin1010110000010…
…0010001000000
310010212122010111
42230010101000
543021344430
64250441104
71055253034
oct254042100
9103778114
1045106240
1123508a93
1213133194
139463aaa
145dc21c4
153e5ec2a
hex2b04440

45106240 has 56 divisors (see below), whose sum is σ = 110898432. Its totient is φ = 17456640.

The previous prime is 45106213. The next prime is 45106241. The reversal of 45106240 is 4260154.

It is not an unprimeable number, because it can be changed into a prime (45106241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7647 + ... + 12193.

Almost surely, 245106240 is an apocalyptic number.

45106240 is a gapful number since it is divisible by the number (40) 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 45106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55449216).

45106240 is an abundant number, since it is smaller than the sum of its proper divisors (65792192).

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

45106240 is a wasteful number, since it uses less digits than its factorization.

45106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 45106240 is about 6716.1179263024. The cubic root of 45106240 is about 355.9690247846.

Adding to 45106240 its reverse (4260154), we get a palindrome (49366394).

The spelling of 45106240 in words is "forty-five million, one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4547 4960 9094 9920 18188 22735 36376 45470 72752 90940 140957 145504 181880 281914 291008 363760 563828 704785 727520 1127656 1409570 1455040 2255312 2819140 4510624 5638280 9021248 11276560 22553120 45106240