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1696630144 = 27112352391
BaseRepresentation
bin110010100100000…
…1000010110000000
311101020111202000111
41211020020112000
511433314131034
6440204401104
760021055366
oct14510102600
94336452014
101696630144
117a0781380
123b4246194
13210669781
14121489636
159de3a364
hex65208580

1696630144 has 64 divisors (see below), whose sum is σ = 3847668480. Its totient is φ = 737651200.

The previous prime is 1696630139. The next prime is 1696630151. The reversal of 1696630144 is 4410366961.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1696630097 and 1696630106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6189 + ... + 58579.

It is an arithmetic number, because the mean of its divisors is an integer number (60119820).

Almost surely, 21696630144 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 1696630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923834240).

1696630144 is an abundant number, since it is smaller than the sum of its proper divisors (2151038336).

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

1696630144 is a wasteful number, since it uses less digits than its factorization.

1696630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52439 (or 52427 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 1696630144 is about 41190.1704779186. The cubic root of 1696630144 is about 1192.6940690061.

The spelling of 1696630144 in words is "one billion, six hundred ninety-six million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 8096 16192 32384 52391 104782 209564 419128 576301 838256 1152602 1204993 1676512 2305204 2409986 3353024 4610408 4819972 6706048 9220816 9639944 13254923 18441632 19279888 26509846 36883264 38559776 53019692 73766528 77119552 106039384 154239104 212078768 424157536 848315072 1696630144