Search a number
-
+
1392222720 = 29357192947
BaseRepresentation
bin101001011111011…
…1010001000000000
310121000201020112110
41102332322020000
510322402111340
6350052055320
746333461240
oct12276721000
93530636473
101392222720
11654967599
1232a304540
13192587835
14d2c89b20
158235a680
hex52fba200

1392222720 has 640 divisors, whose sum is σ = 5656780800. Its totient is φ = 284884992.

The previous prime is 1392222719. The next prime is 1392222731. The reversal of 1392222720 is 272222931.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29621737 + ... + 29621783.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 21392222720 is an apocalyptic number.

1392222720 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 1392222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828390400).

1392222720 is an abundant number, since it is smaller than the sum of its proper divisors (4264558080).

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

1392222720 is a wasteful number, since it uses less digits than its factorization.

1392222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1392222720 is about 37312.5008542713. The cubic root of 1392222720 is about 1116.6135807045.

The spelling of 1392222720 in words is "one billion, three hundred ninety-two million, two hundred twenty-two thousand, seven hundred twenty".