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1401820992 = 263411133161
BaseRepresentation
bin101001110001110…
…0001011101000000
310121200202212220000
41103203201131000
510332331232432
6351033520000
746511165445
oct12343413500
93550685800
101401820992
1165a322950
12331573000
131945685a0
14d42679cc
158310457c
hex538e1740

1401820992 has 560 divisors, whose sum is σ = 5122005504. Its totient is φ = 373248000.

The previous prime is 1401820991. The next prime is 1401821041. The reversal of 1401820992 is 2990281041.

It is a super-2 number, since 2×14018209922 = 3930204187223728128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401820991) 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 79 ways as a sum of consecutive naturals, for example, 22980642 + ... + 22980702.

Almost surely, 21401820992 is an apocalyptic number.

1401820992 is a gapful number since it is divisible by the number (12) 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 1401820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561002752).

1401820992 is an abundant number, since it is smaller than the sum of its proper divisors (3720184512).

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

1401820992 is a wasteful number, since it uses less digits than its factorization.

1401820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1401820992 is about 37440.8999891830. The cubic root of 1401820992 is about 1119.1737613712.

The spelling of 1401820992 in words is "one billion, four hundred one million, eight hundred twenty thousand, nine hundred ninety-two".