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1696620420 = 22325111137583
BaseRepresentation
bin110010100100000…
…0101111110000100
311101020111020200100
41211020011332010
511433313323140
6440204244100
760021015135
oct14510057604
94336436610
101696620420
117a0775040
123b4240630
13210665211
14121485c8c
159de37530
hex65205f84

1696620420 has 144 divisors (see below), whose sum is σ = 5664701952. Its totient is φ = 407608320.

The previous prime is 1696620407. The next prime is 1696620433. The reversal of 1696620420 is 240266961.

1696620420 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 620 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1696620407) and next prime (1696620433).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 219949 + ... + 227531.

It is an arithmetic number, because the mean of its divisors is an integer number (39338208).

Almost surely, 21696620420 is an apocalyptic number.

1696620420 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 1696620420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832350976).

1696620420 is an abundant number, since it is smaller than the sum of its proper divisors (3968081532).

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

1696620420 is a wasteful number, since it uses less digits than its factorization.

1696620420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1696620420 is about 41190.0524398792. The cubic root of 1696620420 is about 1192.6917904149.

The spelling of 1696620420 in words is "one billion, six hundred ninety-six million, six hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 113 132 165 180 198 220 226 330 339 396 452 495 565 660 678 990 1017 1130 1243 1356 1695 1980 2034 2260 2486 3390 3729 4068 4972 5085 6215 6780 7458 7583 10170 11187 12430 14916 15166 18645 20340 22374 22749 24860 30332 37290 37915 44748 45498 55935 68247 74580 75830 83413 90996 111870 113745 136494 151660 166826 223740 227490 250239 272988 333652 341235 417065 454980 500478 682470 750717 834130 856879 1000956 1251195 1364940 1501434 1668260 1713758 2502390 2570637 3002868 3427516 3753585 4284395 5004780 5141274 7507170 7711911 8568790 9425669 10282548 12853185 15014340 15423822 17137580 18851338 25706370 28277007 30847644 37702676 38559555 47128345 51412740 56554014 77119110 84831021 94256690 113108028 141385035 154238220 169662042 188513380 282770070 339324084 424155105 565540140 848310210 1696620420