Search a number
-
+
1398167064 = 233272774141
BaseRepresentation
bin101001101010110…
…0101011000011000
310121102220020122100
41103111211120120
510330412321224
6350423323400
746435136550
oct12325453030
93542806570
101398167064
11658257678
123302b0560
131938893b8
14d3996160
1582b31ac9
hex53565618

1398167064 has 48 divisors (see below), whose sum is σ = 4327661520. Its totient is φ = 399476160.

The previous prime is 1398167051. The next prime is 1398167081. The reversal of 1398167064 is 4607618931.

It is a happy number.

It is a super-2 number, since 2×13981670642 = 3909742277708760192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1386567 + ... + 1387574.

It is an arithmetic number, because the mean of its divisors is an integer number (90159615).

Almost surely, 21398167064 is an apocalyptic number.

1398167064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1398167064 is an abundant number, since it is smaller than the sum of its proper divisors (2929494456).

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

1398167064 is a wasteful number, since it uses less digits than its factorization.

1398167064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774160 (or 2774153 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1398167064 is about 37392.0722078892. The cubic root of 1398167064 is about 1118.2005180944.

The spelling of 1398167064 in words is "one billion, three hundred ninety-eight million, one hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2774141 5548282 8322423 11096564 16644846 19418987 22193128 24967269 33289692 38837974 49934538 58256961 66579384 77675948 99869076 116513922 155351896 174770883 199738152 233027844 349541766 466055688 699083532 1398167064