Search a number
-
+
1396802880 = 26355112371
BaseRepresentation
bin101001101000001…
…1000010101000000
310121100022221100000
41103100120111000
510330040143010
6350334200000
746420425414
oct12320302500
93540287300
101396802880
11657505750
1232b953000
131934cc4a5
14d371cd44
15829627c0
hex53418540

1396802880 has 672 divisors, whose sum is σ = 5751502848. Its totient is φ = 319334400.

The previous prime is 1396802851. The next prime is 1396802923. The reversal of 1396802880 is 882086931.

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

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, 19673245 + ... + 19673315.

It is an arithmetic number, because the mean of its divisors is an integer number (8558784).

Almost surely, 21396802880 is an apocalyptic number.

1396802880 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 1396802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875751424).

1396802880 is an abundant number, since it is smaller than the sum of its proper divisors (4354699968).

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

1396802880 is a wasteful number, since it uses less digits than its factorization.

1396802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1396802880 is about 37373.8261354119. The cubic root of 1396802880 is about 1117.8367256974.

The spelling of 1396802880 in words is "one billion, three hundred ninety-six million, eight hundred two thousand, eight hundred eighty".