Search a number
-
+
1097626608 = 2432132233753
BaseRepresentation
bin100000101101100…
…0111001111110000
32211111101012122100
41001123013033300
54221443022413
6300525540400
736125446401
oct10133071760
92744335570
101097626608
11513644131
12267714700
1314652c600
14a5ac19a8
1566567a73
hex416c73f0

1097626608 has 360 divisors, whose sum is σ = 3631990752. Its totient is φ = 308385792.

The previous prime is 1097626591. The next prime is 1097626639. The reversal of 1097626608 is 8066267901.

1097626608 is a `hidden beast` number, since 10 + 9 + 7 + 6 + 26 + 608 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20709910 + ... + 20709962.

Almost surely, 21097626608 is an apocalyptic number.

1097626608 is a gapful number since it is divisible by the number (18) 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 1097626608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815995376).

1097626608 is an abundant number, since it is smaller than the sum of its proper divisors (2534364144).

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

1097626608 is a wasteful number, since it uses less digits than its factorization.

1097626608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1097626608 is about 33130.4483519315. The cubic root of 1097626608 is about 1031.5371549865.

The spelling of 1097626608 in words is "one billion, ninety-seven million, six hundred twenty-six thousand, six hundred eight".