Search a number
-
+
1400560640 = 21051716091
BaseRepresentation
bin101001101111010…
…1101110000000000
310121121101212000022
41103132231300000
510332020420030
6350550513012
746464366113
oct12336556000
93547355008
101400560640
11659641a36
12331065768
13194216a0b
14d401a57a
1582e55de5
hex537adc00

1400560640 has 88 divisors (see below), whose sum is σ = 3557554992. Its totient is φ = 527237120.

The previous prime is 1400560633. The next prime is 1400560649. The reversal of 1400560640 is 460650041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400560649) 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, 78995 + ... + 95085.

Almost surely, 21400560640 is an apocalyptic number.

1400560640 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 1400560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778777496).

1400560640 is an abundant number, since it is smaller than the sum of its proper divisors (2156994352).

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

1400560640 is a wasteful number, since it uses less digits than its factorization.

1400560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16133 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1400560640 is about 37424.0649849799. The cubic root of 1400560640 is about 1118.8382511450.

The spelling of 1400560640 in words is "one billion, four hundred million, five hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2176 2560 2720 4352 5120 5440 8704 10880 16091 17408 21760 32182 43520 64364 80455 87040 128728 160910 257456 273547 321820 514912 547094 643640 1029824 1094188 1287280 1367735 2059648 2188376 2574560 2735470 4119296 4376752 5149120 5470940 8238592 8753504 10298240 10941880 16477184 17507008 20596480 21883760 35014016 41192960 43767520 70028032 82385920 87535040 140056064 175070080 280112128 350140160 700280320 1400560640