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1697680816 = 241342119387
BaseRepresentation
bin110010100110000…
…1000110110110000
311101022111010021021
41211030020312300
511434101241231
6440243105224
760033022516
oct14514106660
94338433237
101697680816
117a13297a7
123b4672214
13210946a80
141216804b6
159e096811
hex65308db0

1697680816 has 40 divisors (see below), whose sum is σ = 3550873424. Its totient is φ = 781643520.

The previous prime is 1697680783. The next prime is 1697680823. The reversal of 1697680816 is 6180867961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 7 ways as a sum of consecutive naturals, for example, 77875 + ... + 97261.

Almost surely, 21697680816 is an apocalyptic number.

1697680816 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 1697680816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775436712).

1697680816 is an abundant number, since it is smaller than the sum of its proper divisors (1853192608).

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

1697680816 is a wasteful number, since it uses less digits than its factorization.

1697680816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19829 (or 19823 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 1697680816 is about 41202.9224206245. The cubic root of 1697680816 is about 1192.9402180526.

The spelling of 1697680816 in words is "one billion, six hundred ninety-seven million, six hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 421 842 1684 3368 5473 6736 10946 19387 21892 38774 43784 77548 87568 155096 252031 310192 504062 1008124 2016248 4032496 8161927 16323854 32647708 65295416 106105051 130590832 212210102 424420204 848840408 1697680816