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196290540 = 2236513463
BaseRepresentation
bin10111011001100…
…10011111101100
3111200100121000000
423230302133230
5400222244130
631251104300
74602304425
oct1354623754
9450317000
10196290540
11a0889a96
12558a2090
1331888a64
141c0d864c
1512375260
hexbb327ec

196290540 has 84 divisors (see below), whose sum is σ = 618078384. Its totient is φ = 52340256.

The previous prime is 196290527. The next prime is 196290541. The reversal of 196290540 is 45092691.

196290540 is a `hidden beast` number, since 1 + 96 + 29 + 0 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 196290495 and 196290504.

It is not an unprimeable number, because it can be changed into a prime (196290541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7849 + ... + 21311.

It is an arithmetic number, because the mean of its divisors is an integer number (7358076).

Almost surely, 2196290540 is an apocalyptic number.

196290540 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 196290540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309039192).

196290540 is an abundant number, since it is smaller than the sum of its proper divisors (421787844).

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

196290540 is a wasteful number, since it uses less digits than its factorization.

196290540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13490 (or 13473 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 196290540 is about 14010.3725860521. The cubic root of 196290540 is about 581.1654528431.

The spelling of 196290540 in words is "one hundred ninety-six million, two hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 13463 14580 26926 40389 53852 67315 80778 121167 134630 161556 201945 242334 269260 363501 403890 484668 605835 727002 807780 1090503 1211670 1454004 1817505 2181006 2423340 3271509 3635010 4362012 5452515 6543018 7270020 9814527 10905030 13086036 16357545 19629054 21810060 32715090 39258108 49072635 65430180 98145270 196290540