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197639680 = 295741269
BaseRepresentation
bin10111100011110…
…11111000000000
3111202220010200011
423301323320000
5401043432210
631340034304
74616623660
oct1361737000
9452803604
10197639680
11a1620687
1256232994
1331c3bb74
141c36a1a0
151253ed8a
hexbc7be00

197639680 has 160 divisors (see below), whose sum is σ = 556839360. Its totient is φ = 65863680.

The previous prime is 197639641. The next prime is 197639693. The reversal of 197639680 is 86936791.

197639680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1976396802 = 78122886221004800, which contains 22 as substring.

It is a congruent number.

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, 734586 + ... + 734854.

It is an arithmetic number, because the mean of its divisors is an integer number (3480246).

Almost surely, 2197639680 is an apocalyptic number.

197639680 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 197639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278419680).

197639680 is an abundant number, since it is smaller than the sum of its proper divisors (359199680).

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

197639680 is an equidigital number, since it uses as much as digits as its factorization.

197639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 197639680 is about 14058.4380355714. The cubic root of 197639680 is about 582.4938986387.

The spelling of 197639680 in words is "one hundred ninety-seven million, six hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 256 269 280 287 320 328 410 448 512 538 560 574 640 656 820 896 1076 1120 1148 1280 1312 1345 1435 1640 1792 1883 2152 2240 2296 2560 2624 2690 2870 3280 3584 3766 4304 4480 4592 5248 5380 5740 6560 7532 8608 8960 9184 9415 10496 10760 11029 11480 13120 15064 17216 17920 18368 18830 20992 21520 22058 22960 26240 30128 34432 36736 37660 43040 44116 45920 52480 55145 60256 68864 73472 75320 77203 86080 88232 91840 104960 110290 120512 137728 146944 150640 154406 172160 176464 183680 220580 241024 301280 308812 344320 352928 367360 386015 441160 482048 602560 617624 688640 705856 734720 772030 882320 964096 1205120 1235248 1411712 1544060 1764640 2410240 2470496 2823424 3088120 3529280 4820480 4940992 5646848 6176240 7058560 9881984 12352480 14117120 19763968 24704960 28234240 39527936 49409920 98819840 197639680