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196660080 = 243251716067
BaseRepresentation
bin10111011100011…
…00101101110000
3111201001100220200
423232030231300
5400321110310
631303035200
74605404001
oct1356145560
9451040820
10196660080
11a10116a1
1255a3bb00
1331988016
141c1931a8
15123e99c0
hexbb8cb70

196660080 has 120 divisors (see below), whose sum is σ = 699343632. Its totient is φ = 49354752.

The previous prime is 196660033. The next prime is 196660081. The reversal of 196660080 is 80066691.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196660081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4207 + ... + 20273.

Almost surely, 2196660080 is an apocalyptic number.

196660080 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 196660080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349671816).

196660080 is an abundant number, since it is smaller than the sum of its proper divisors (502683552).

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

196660080 is a wasteful number, since it uses less digits than its factorization.

196660080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16103 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 196660080 is about 14023.5544709606. The cubic root of 196660080 is about 581.5299282944.

The spelling of 196660080 in words is "one hundred ninety-six million, six hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 16067 32134 48201 64268 80335 96402 128536 144603 160670 192804 241005 257072 273139 289206 321340 385608 482010 546278 578412 642680 723015 771216 819417 964020 1092556 1156824 1285360 1365695 1446030 1638834 1928040 2185112 2313648 2458251 2731390 2892060 3277668 3856080 4097085 4370224 4916502 5462780 5784120 6555336 8194170 9833004 10925560 11568240 12291255 13110672 16388340 19666008 21851120 24582510 32776680 39332016 49165020 65553360 98330040 196660080