Search a number
-
+
45100240 = 24523127193
BaseRepresentation
bin1010110000001…
…0110011010000
310010212022220021
42230002303100
543021201430
64250353224
71055226403
oct254026320
9103768807
1045100240
1123504529
121312b814
139461143
145dbdd3a
153e5d07a
hex2b02cd0

45100240 has 80 divisors (see below), whose sum is σ = 110850048. Its totient is φ = 17031168.

The previous prime is 45100207. The next prime is 45100259. The reversal of 45100240 is 4200154.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 233584 + ... + 233776.

Almost surely, 245100240 is an apocalyptic number.

45100240 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 45100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55425024).

45100240 is an abundant number, since it is smaller than the sum of its proper divisors (65749808).

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

45100240 is a wasteful number, since it uses less digits than its factorization.

45100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 45100240 is about 6715.6712248293. The cubic root of 45100240 is about 355.9532405025.

Adding to 45100240 its reverse (4200154), we get a palindrome (49300394).

The spelling of 45100240 in words is "forty-five million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 127 184 193 230 254 368 386 460 508 635 772 920 965 1016 1270 1544 1840 1930 2032 2540 2921 3088 3860 4439 5080 5842 7720 8878 10160 11684 14605 15440 17756 22195 23368 24511 29210 35512 44390 46736 49022 58420 71024 88780 98044 116840 122555 177560 196088 233680 245110 355120 392176 490220 563753 980440 1127506 1960880 2255012 2818765 4510024 5637530 9020048 11275060 22550120 45100240