Search a number
-
+
1400025440 = 255111037723
BaseRepresentation
bin101001101110010…
…1011000101100000
310121120101122212002
41103130223011200
510331401303230
6350531223132
746460006552
oct12334530540
93546348762
101400025440
11659306920
12330a47aa8
1319408a228
14d3d1b4d2
1582d9c545
hex5372b160

1400025440 has 96 divisors (see below), whose sum is σ = 3643750656. Its totient is φ = 504092160.

The previous prime is 1400025421. The next prime is 1400025449. The reversal of 1400025440 is 445200041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400025449) 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, 177419 + ... + 185141.

It is an arithmetic number, because the mean of its divisors is an integer number (37955736).

Almost surely, 21400025440 is an apocalyptic number.

1400025440 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 1400025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821875328).

1400025440 is an abundant number, since it is smaller than the sum of its proper divisors (2243725216).

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

1400025440 is a wasteful number, since it uses less digits than its factorization.

1400025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1400025440 is about 37416.9138224948. The cubic root of 1400025440 is about 1118.6957180991.

Adding to 1400025440 its reverse (445200041), we get a palindrome (1845225481).

The spelling of 1400025440 in words is "one billion, four hundred million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 103 110 160 176 206 220 352 412 440 515 824 880 1030 1133 1648 1760 2060 2266 3296 4120 4532 5665 7723 8240 9064 11330 15446 16480 18128 22660 30892 36256 38615 45320 61784 77230 84953 90640 123568 154460 169906 181280 247136 308920 339812 424765 617840 679624 795469 849530 1235680 1359248 1590938 1699060 2718496 3181876 3398120 3977345 6363752 6796240 7954690 8750159 12727504 13592480 15909380 17500318 25455008 31818760 35000636 43750795 63637520 70001272 87501590 127275040 140002544 175003180 280005088 350006360 700012720 1400025440