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1451245040 = 24578331223
BaseRepresentation
bin101011010000000…
…0011110111110000
310202010202212221022
41112200003313300
510433004320130
6400001115012
750651244050
oct12640036760
93663685838
101451245040
1168520a973
12346028a68
131a188179b
14daa51560
15876187e5
hex56803df0

1451245040 has 80 divisors (see below), whose sum is σ = 3902750208. Its totient is φ = 491559168.

The previous prime is 1451245027. The next prime is 1451245049. The reversal of 1451245040 is 405421541.

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

It is a super-2 number, since 2×14512450402 = 4212224332249203200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451245049) 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, 30869 + ... + 62091.

Almost surely, 21451245040 is an apocalyptic number.

1451245040 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 1451245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951375104).

1451245040 is an abundant number, since it is smaller than the sum of its proper divisors (2451505168).

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

1451245040 is a wasteful number, since it uses less digits than its factorization.

1451245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31326 (or 31320 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 1451245040 is about 38095.2101976088. The cubic root of 1451245040 is about 1132.1750573123.

Adding to 1451245040 its reverse (405421541), we get a palindrome (1856666581).

The spelling of 1451245040 in words is "one billion, four hundred fifty-one million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1162 1328 1660 2324 2905 3320 4648 5810 6640 9296 11620 23240 31223 46480 62446 124892 156115 218561 249784 312230 437122 499568 624460 874244 1092805 1248920 1748488 2185610 2497840 2591509 3496976 4371220 5183018 8742440 10366036 12957545 17484880 18140563 20732072 25915090 36281126 41464144 51830180 72562252 90702815 103660360 145124504 181405630 207320720 290249008 362811260 725622520 1451245040