Search a number
-
+
1398660480 = 27335731373
BaseRepresentation
bin101001101011101…
…1101110110000000
310121110211022111000
41103113131312000
510331024113410
6350442052000
746442263230
oct12327356600
93543738430
101398660480
11658564358
123304aa000
131939ccb69
14d3a83cc0
1582bccdc0
hex535ddd80

1398660480 has 512 divisors, whose sum is σ = 5859532800. Its totient is φ = 308551680.

The previous prime is 1398660409. The next prime is 1398660481. The reversal of 1398660480 is 840668931.

1398660480 is a `hidden beast` number, since 1 + 39 + 8 + 6 + 604 + 8 + 0 = 666.

It is a super-2 number, since 2×13986604802 = 3912502276627660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398660481) 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, 3749574 + ... + 3749946.

It is an arithmetic number, because the mean of its divisors is an integer number (11444400).

Almost surely, 21398660480 is an apocalyptic number.

1398660480 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 1398660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929766400).

1398660480 is an abundant number, since it is smaller than the sum of its proper divisors (4460872320).

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

1398660480 is a wasteful number, since it uses less digits than its factorization.

1398660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1398660480 is about 37398.6694950502. The cubic root of 1398660480 is about 1118.3320410363.

The spelling of 1398660480 in words is "one billion, three hundred ninety-eight million, six hundred sixty thousand, four hundred eighty".