Search a number
-
+
1453116640 = 25515757847
BaseRepresentation
bin101011010011100…
…1100110011100000
310202021021222021211
41112213030303200
510433444213030
6400105155504
751003200443
oct12647146340
93667258254
101453116640
11686279048
1234678bb94
131a2088641
14dadbb65a
158788812a
hex569ccce0

1453116640 has 48 divisors (see below), whose sum is σ = 3454913952. Its totient is φ = 577534464.

The previous prime is 1453116541. The next prime is 1453116641. The reversal of 1453116640 is 466113541.

It is a super-2 number, since 2×14531166402 = 4223095938889779200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453116641) 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, 3804 + ... + 54043.

It is an arithmetic number, because the mean of its divisors is an integer number (71977374).

Almost surely, 21453116640 is an apocalyptic number.

1453116640 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 1453116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727456976).

1453116640 is an abundant number, since it is smaller than the sum of its proper divisors (2001797312).

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

1453116640 is a wasteful number, since it uses less digits than its factorization.

1453116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58019 (or 58011 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1453116640 is about 38119.7670507048. The cubic root of 1453116640 is about 1132.6615519006.

The spelling of 1453116640 in words is "one billion, four hundred fifty-three million, one hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12560 25120 57847 115694 231388 289235 462776 578470 925552 1156940 1851104 2313880 4627760 9081979 9255520 18163958 36327916 45409895 72655832 90819790 145311664 181639580 290623328 363279160 726558320 1453116640