Search a number
-
+
1396918656 = 27337273113
BaseRepresentation
bin101001101000011…
…0100100110000000
310121100112211011000
41103100310212000
510330102344111
6350340452000
746421420100
oct12320644600
93540484130
101396918656
11657584731
1232b9aa000
131935400b3
14d374d200
1582986c56
hex53434980

1396918656 has 384 divisors, whose sum is σ = 4904690400. Its totient is φ = 390168576.

The previous prime is 1396918643. The next prime is 1396918673. The reversal of 1396918656 is 6568196931.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12362056 + ... + 12362168.

Almost surely, 21396918656 is an apocalyptic number.

1396918656 is a gapful number since it is divisible by the number (16) 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 1396918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452345200).

1396918656 is an abundant number, since it is smaller than the sum of its proper divisors (3507771744).

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

1396918656 is a wasteful number, since it uses less digits than its factorization.

1396918656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 1396918656 is about 37375.3749947743. The cubic root of 1396918656 is about 1117.8676093415.

The spelling of 1396918656 in words is "one billion, three hundred ninety-six million, nine hundred eighteen thousand, six hundred fifty-six".