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1398422040 = 23351719109331
BaseRepresentation
bin101001101011010…
…0011101000011000
310121110101012101220
41103112203220120
510330444001130
6350433012040
746440251121
oct12326435030
93543335356
101398422040
116584111a4
123303b4020
13193948482
14d3a21048
1582b82410
hex535a3a18

1398422040 has 256 divisors, whose sum is σ = 4732992000. Its totient is φ = 328458240.

The previous prime is 1398422027. The next prime is 1398422041. The reversal of 1398422040 is 402248931.

It is a junction number, because it is equal to n+sod(n) for n = 1398421992 and 1398422010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398422041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4224675 + ... + 4225005.

It is an arithmetic number, because the mean of its divisors is an integer number (18488250).

Almost surely, 21398422040 is an apocalyptic number.

1398422040 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 1398422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366496000).

1398422040 is an abundant number, since it is smaller than the sum of its proper divisors (3334569960).

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

1398422040 is a wasteful number, since it uses less digits than its factorization.

1398422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1398422040 is about 37395.4815452348. The cubic root of 1398422040 is about 1118.2684873123.

The spelling of 1398422040 in words is "one billion, three hundred ninety-eight million, four hundred twenty-two thousand, forty".