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1400021440 = 2655418087
BaseRepresentation
bin101001101110010…
…1010000111000000
310121120101110100221
41103130222013000
510331401141230
6350531152424
746456662106
oct12334520700
93546343327
101400021440
11659303914
12330a45714
1319408846c
14d3d19c76
1582d9b27a
hex5372a1c0

1400021440 has 56 divisors (see below), whose sum is σ = 3340376352. Its totient is φ = 558904320.

The previous prime is 1400021437. The next prime is 1400021449. The reversal of 1400021440 is 441200041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400021449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169077 + ... + 177163.

Almost surely, 21400021440 is an apocalyptic number.

1400021440 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 1400021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670188176).

1400021440 is an abundant number, since it is smaller than the sum of its proper divisors (1940354912).

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

1400021440 is an equidigital number, since it uses as much as digits as its factorization.

1400021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8635 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1400021440 is about 37416.8603706939. The cubic root of 1400021440 is about 1118.6946526929.

Adding to 1400021440 its reverse (441200041), we get a palindrome (1841221481).

The spelling of 1400021440 in words is "one billion, four hundred million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 541 1082 2164 2705 4328 5410 8087 8656 10820 16174 17312 21640 32348 34624 40435 43280 64696 80870 86560 129392 161740 173120 258784 323480 517568 646960 1293920 2587840 4375067 8750134 17500268 21875335 35000536 43750670 70001072 87501340 140002144 175002680 280004288 350005360 700010720 1400021440