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196271040 = 2635729207
BaseRepresentation
bin10111011001011…
…01101111000000
3111200022121020210
423230231233000
5400221133130
631250434120
74602163530
oct1354555700
9450277223
10196271040
11a0876379
1255892940
133187cc14
141c0d14c0
151236e5b0
hexbb2dbc0

196271040 has 112 divisors (see below), whose sum is σ = 712207872. Its totient is φ = 44860416.

The previous prime is 196271011. The next prime is 196271041. The reversal of 196271040 is 40172691.

It is a happy number.

196271040 is digitally balanced in base 3, 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 (112).

It is a super-2 number, since 2×1962710402 = 77044642285363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 196270989 and 196271007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196271041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7884 + ... + 21323.

Almost surely, 2196271040 is an apocalyptic number.

196271040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196271040 is an abundant number, since it is smaller than the sum of its proper divisors (515936832).

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

196271040 is a wasteful number, since it uses less digits than its factorization.

196271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29234 (or 29224 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 196271040 is about 14009.6766557976. The cubic root of 196271040 is about 581.1462073891.

The spelling of 196271040 in words is "one hundred ninety-six million, two hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 29207 58414 87621 116828 146035 175242 204449 233656 292070 350484 408898 438105 467312 584140 613347 700968 817796 876210 934624 1022245 1168280 1226694 1401936 1635592 1752420 1869248 2044490 2336560 2453388 2803872 3066735 3271184 3504840 4088980 4673120 4906776 5607744 6133470 6542368 7009680 8177960 9346240 9813552 12266940 13084736 14019360 16355920 19627104 24533880 28038720 32711840 39254208 49067760 65423680 98135520 196271040