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1696472320 = 2855772297
BaseRepresentation
bin110010100011110…
…0001110100000000
311101020012201112011
41211013201310000
511433244103240
6440201142304
760016530304
oct14507416400
94336181464
101696472320
117a0683844
123b418a994
1321061299a
14121447d04
159de086ea
hex651e1d00

1696472320 has 72 divisors (see below), whose sum is σ = 4072396104. Its totient is φ = 677117952.

The previous prime is 1696472299. The next prime is 1696472333. The reversal of 1696472320 is 232746961.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 634233856 + 1062238464 = 25184^2 + 32592^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 737412 + ... + 739708.

It is an arithmetic number, because the mean of its divisors is an integer number (56561057).

Almost surely, 21696472320 is an apocalyptic number.

1696472320 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 1696472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036198052).

1696472320 is an abundant number, since it is smaller than the sum of its proper divisors (2375923784).

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

1696472320 is an equidigital number, since it uses as much as digits as its factorization.

1696472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 1696472320 is about 41188.2546364859. The cubic root of 1696472320 is about 1192.6570855802.

The spelling of 1696472320 in words is "one billion, six hundred ninety-six million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 577 640 1154 1280 2297 2308 2885 4594 4616 5770 9188 9232 11485 11540 18376 18464 22970 23080 36752 36928 45940 46160 73504 73856 91880 92320 147008 147712 183760 184640 294016 367520 369280 588032 735040 738560 1325369 1470080 2650738 2940160 5301476 6626845 10602952 13253690 21205904 26507380 42411808 53014760 84823616 106029520 169647232 212059040 339294464 424118080 848236160 1696472320