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1400622664 = 23734671093
BaseRepresentation
bin101001101111011…
…1100111001001000
310121121112000002111
41103132330321020
510332024411124
6350552112104
746465045000
oct12336747110
93547460074
101400622664
116596845a1
12331095634
1319423900c
14d4035000
1582e69494
hex537bce48

1400622664 has 64 divisors (see below), whose sum is σ = 3071952000. Its totient is φ = 598433472.

The previous prime is 1400622649. The next prime is 1400622667. The reversal of 1400622664 is 4662260041.

It is not an unprimeable number, because it can be changed into a prime (1400622667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1280902 + ... + 1281994.

It is an arithmetic number, because the mean of its divisors is an integer number (47999250).

Almost surely, 21400622664 is an apocalyptic number.

1400622664 is a gapful number since it is divisible by the number (14) 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 1400622664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535976000).

1400622664 is an abundant number, since it is smaller than the sum of its proper divisors (1671329336).

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

1400622664 is a wasteful number, since it uses less digits than its factorization.

1400622664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1400622664 is about 37424.8936404634. The cubic root of 1400622664 is about 1118.8547668644.

The spelling of 1400622664 in words is "one billion, four hundred million, six hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 467 686 934 1093 1372 1868 2186 2744 3269 3736 4372 6538 7651 8744 13076 15302 22883 26152 30604 45766 53557 61208 91532 107114 160181 183064 214228 320362 374899 428456 510431 640724 749798 1020862 1281448 1499596 2041724 2999192 3573017 4083448 7146034 14292068 25011119 28584136 50022238 100044476 175077833 200088952 350155666 700311332 1400622664