Search a number
-
+
1097706456 = 23327111719613
BaseRepresentation
bin100000101101101…
…1010101111011000
32211111112021011200
41001123122233120
54222003101311
6300531354200
736126231240
oct10133325730
92744467150
101097706456
11513699120
12267752960
13146559a62
14a5b02b20
1566581556
hex416dabd8

1097706456 has 384 divisors, whose sum is σ = 4137868800. Its totient is φ = 253808640.

The previous prime is 1097706433. The next prime is 1097706539. The reversal of 1097706456 is 6546077901.

It is a happy number.

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, 1790406 + ... + 1791018.

It is an arithmetic number, because the mean of its divisors is an integer number (10775700).

Almost surely, 21097706456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097706456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068934400).

1097706456 is an abundant number, since it is smaller than the sum of its proper divisors (3040162344).

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

1097706456 is a wasteful number, since it uses less digits than its factorization.

1097706456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1097706456 is about 33131.6533846411. The cubic root of 1097706456 is about 1031.5621677978.

The spelling of 1097706456 in words is "one billion, ninety-seven million, seven hundred six thousand, four hundred fifty-six".