Search a number
-
+
196139520 = 293258513
BaseRepresentation
bin10111011000011…
…01101000000000
3111200001220211200
423230031220000
5400202431040
631243541200
74601105223
oct1354155000
9450056750
10196139520
11a0796585
125582a800
13318350b5
141c0995ba
1512345630
hexbb0da00

196139520 has 120 divisors (see below), whose sum is σ = 679366116. Its totient is φ = 52297728.

The previous prime is 196139513. The next prime is 196139521. The reversal of 196139520 is 25931691.

196139520 is a `hidden beast` number, since 19 + 613 + 9 + 5 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184525056 + 11614464 = 13584^2 + 3408^2 .

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

It is a super-2 number, since 2×1961395202 = 76941422611660800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (196139521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18784 + ... + 27296.

Almost surely, 2196139520 is an apocalyptic number.

196139520 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 196139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339683058).

196139520 is an abundant number, since it is smaller than the sum of its proper divisors (483226596).

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

196139520 is an equidigital number, since it uses as much as digits as its factorization.

196139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 196139520 is about 14004.9819707131. The cubic root of 196139520 is about 581.0163709007.

The spelling of 196139520 in words is "one hundred ninety-six million, one hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 8513 11520 17026 23040 25539 34052 42565 51078 68104 76617 85130 102156 127695 136208 153234 170260 204312 255390 272416 306468 340520 383085 408624 510780 544832 612936 681040 766170 817248 1021560 1089664 1225872 1362080 1532340 1634496 2043120 2179328 2451744 2724160 3064680 3268992 4086240 4358656 4903488 5448320 6129360 6537984 8172480 9806976 10896640 12258720 13075968 16344960 19613952 21793280 24517440 32689920 39227904 49034880 65379840 98069760 196139520