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1400689120 = 255193189167
BaseRepresentation
bin101001101111100…
…1101000111100000
310121121122101020211
41103133031013200
510332034022440
6350553343504
746465442515
oct12337150740
93547571224
101400689120
1165971a516
12331107b94
1319426033c
14d405130c
1582e7deea
hex537cd1e0

1400689120 has 192 divisors, whose sum is σ = 3657830400. Its totient is φ = 504852480.

The previous prime is 1400689111. The next prime is 1400689153. The reversal of 1400689120 is 219860041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 8387277 + ... + 8387443.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 21400689120 is an apocalyptic number.

1400689120 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 1400689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1400689120 is an abundant number, since it is smaller than the sum of its proper divisors (2257141280).

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

1400689120 is a wasteful number, since it uses less digits than its factorization.

1400689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1400689120 is about 37425.7814881667. The cubic root of 1400689120 is about 1118.8724621934.

The spelling of 1400689120 in words is "one billion, four hundred million, six hundred eighty-nine thousand, one hundred twenty".