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196252920 = 233254331259
BaseRepresentation
bin10111011001010…
…01010011111000
3111200021200101200
423230221103320
5400220043140
631250214200
74602056643
oct1354512370
9450250350
10196252920
11a08637a6
1255884360
13318748b6
141c0c8a5a
1512369030
hexbb294f8

196252920 has 96 divisors (see below), whose sum is σ = 639802800. Its totient is φ = 52171776.

The previous prime is 196252907. The next prime is 196252943. The reversal of 196252920 is 29252691.

It is a happy number.

196252920 is a `hidden beast` number, since 1 + 9 + 625 + 2 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155251 + ... + 156509.

Almost surely, 2196252920 is an apocalyptic number.

196252920 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 196252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319901400).

196252920 is an abundant number, since it is smaller than the sum of its proper divisors (443549880).

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

196252920 is a wasteful number, since it uses less digits than its factorization.

196252920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1702 counting only the distinct ones).

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

The square root of 196252920 is about 14009.0299450033. The cubic root of 196252920 is about 581.1283227786.

It can be divided in two parts, 196 and 252920, that added together give a triangular number (253116 = T711).

The spelling of 196252920 in words is "one hundred ninety-six million, two hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 433 866 1259 1299 1732 2165 2518 2598 3464 3777 3897 4330 5036 5196 6295 6495 7554 7794 8660 10072 10392 11331 12590 12990 15108 15588 17320 18885 19485 22662 25180 25980 30216 31176 37770 38970 45324 50360 51960 56655 75540 77940 90648 113310 151080 155880 226620 453240 545147 1090294 1635441 2180588 2725735 3270882 4361176 4906323 5451470 6541764 8177205 9812646 10902940 13083528 16354410 19625292 21805880 24531615 32708820 39250584 49063230 65417640 98126460 196252920