Search a number
-
+
1399359192 = 2337112234173
BaseRepresentation
bin101001101101000…
…1000011011011000
310121112010210221020
41103122020123120
510331213443232
6350505042440
746451233260
oct12332103330
93545123836
101399359192
116589a1300
12330786420
13193bb5bba
14d3bc67a0
1582cb9e2c
hex536886d8

1399359192 has 384 divisors, whose sum is σ = 4761953280. Its totient is φ = 334540800.

The previous prime is 1399359187. The next prime is 1399359211. The reversal of 1399359192 is 2919539931.

It is a super-2 number, since 2×13993591922 = 3916412296469785728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19169268 + ... + 19169340.

It is an arithmetic number, because the mean of its divisors is an integer number (12400920).

Almost surely, 21399359192 is an apocalyptic number.

1399359192 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 1399359192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380976640).

1399359192 is an abundant number, since it is smaller than the sum of its proper divisors (3362594088).

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

1399359192 is a wasteful number, since it uses less digits than its factorization.

1399359192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its digits is 590490, while the sum is 51.

The square root of 1399359192 is about 37408.0097305377. The cubic root of 1399359192 is about 1118.5182339324.

The spelling of 1399359192 in words is "one billion, three hundred ninety-nine million, three hundred fifty-nine thousand, one hundred ninety-two".