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1696427920 = 2451119241421
BaseRepresentation
bin110010100011101…
…0110111110010000
311101020010110121201
41211013112332100
511433241143140
6440200200544
760016253665
oct14507267620
94336113551
101696427920
117a0653450
123b4169154
132105c8705
14121435a6c
159ddea49a
hex651d6f90

1696427920 has 160 divisors (see below), whose sum is σ = 4558815360. Its totient is φ = 580608000.

The previous prime is 1696427899. The next prime is 1696427923. The reversal of 1696427920 is 297246961.

It is not an unprimeable number, because it can be changed into a prime (1696427923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029310 + ... + 4029730.

It is an arithmetic number, because the mean of its divisors is an integer number (28492596).

Almost surely, 21696427920 is an apocalyptic number.

1696427920 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 1696427920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279407680).

1696427920 is an abundant number, since it is smaller than the sum of its proper divisors (2862387440).

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

1696427920 is a wasteful number, since it uses less digits than its factorization.

1696427920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 1696427920 is about 41187.7156443520. The cubic root of 1696427920 is about 1192.6466807662.

The spelling of 1696427920 in words is "one billion, six hundred ninety-six million, four hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 241 304 380 418 421 440 482 760 836 842 880 964 1045 1205 1520 1672 1684 1928 2090 2105 2410 2651 3344 3368 3856 4180 4210 4579 4631 4820 5302 6736 7999 8360 8420 9158 9262 9640 10604 13255 15998 16720 16840 18316 18524 19280 21208 22895 23155 26510 31996 33680 36632 37048 39995 42416 45790 46310 50369 53020 63992 73264 74096 79990 87989 91580 92620 100738 101461 106040 127984 159980 175978 183160 185240 201476 202922 212080 251845 319960 351956 366320 370480 402952 405844 439945 503690 507305 639920 703912 805904 811688 879890 1007380 1014610 1116071 1407824 1623376 1759780 1927759 2014760 2029220 2232142 3519560 3855518 4029520 4058440 4464284 5580355 7039120 7711036 8116880 8928568 9638795 11160710 15422072 17857136 19277590 21205349 22321420 30844144 38555180 42410698 44642840 77110360 84821396 89285680 106026745 154220720 169642792 212053490 339285584 424106980 848213960 1696427920