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1683387296 = 25233189829
BaseRepresentation
bin110010001010110…
…0111001110100000
311100022120221020122
41210111213032200
511421421343141
6435012455412
756500361453
oct14425471640
94308527218
101683387296
11794256878
123ab91a568
1320a9b0b76
1411d7dd49a
159cbc164b
hex645673a0

1683387296 has 96 divisors (see below), whose sum is σ = 3614284800. Its totient is φ = 769443840.

The previous prime is 1683387283. The next prime is 1683387313. The reversal of 1683387296 is 6927833861.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2030210 + ... + 2031038.

It is an arithmetic number, because the mean of its divisors is an integer number (37648800).

Almost surely, 21683387296 is an apocalyptic number.

1683387296 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 1683387296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807142400).

1683387296 is an abundant number, since it is smaller than the sum of its proper divisors (1930897504).

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

1683387296 is a wasteful number, since it uses less digits than its factorization.

1683387296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 53.

The square root of 1683387296 is about 41029.1030367470. The cubic root of 1683387296 is about 1189.5828154177.

The spelling of 1683387296 in words is "one billion, six hundred eighty-three million, three hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 89 92 124 178 184 248 356 368 496 712 713 736 829 992 1424 1426 1658 2047 2759 2848 2852 3316 4094 5518 5704 6632 8188 11036 11408 13264 16376 19067 22072 22816 25699 26528 32752 38134 44144 51398 63457 65504 73781 76268 88288 102796 126914 147562 152536 205592 253828 295124 305072 411184 507656 590248 591077 610144 822368 1015312 1180496 1182154 1696963 2030624 2287211 2360992 2364308 3393926 4574422 4728616 6787852 9148844 9457232 13575704 18297688 18914464 27151408 36595376 52605853 54302816 73190752 105211706 210423412 420846824 841693648 1683387296