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1400233120 = 2551113193221
BaseRepresentation
bin101001101110101…
…1101110010100000
310121120210012201221
41103131131302200
510331424424440
6350535504424
746461533206
oct12335356240
93546705657
101400233120
11659438960
12330b28114
13194130910
14d3d73076
1582dddd4a
hex5375dca0

1400233120 has 192 divisors, whose sum is σ = 4092197760. Its totient is φ = 445132800.

The previous prime is 1400233111. The next prime is 1400233147. The reversal of 1400233120 is 213320041.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1400233094 and 1400233103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433110 + ... + 436330.

It is an arithmetic number, because the mean of its divisors is an integer number (21313530).

Almost surely, 21400233120 is an apocalyptic number.

1400233120 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 1400233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046098880).

1400233120 is an abundant number, since it is smaller than the sum of its proper divisors (2691964640).

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

1400233120 is a wasteful number, since it uses less digits than its factorization.

1400233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1400233120 is about 37419.6889351047. The cubic root of 1400233120 is about 1118.7510311987.

Adding to 1400233120 its reverse (213320041), we get a palindrome (1613553161).

The spelling of 1400233120 in words is "one billion, four hundred million, two hundred thirty-three thousand, one hundred twenty".