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196690900 = 225272137293
BaseRepresentation
bin10111011100101…
…00001111010100
3111201002221012011
423232110033110
5400323102100
631303434004
74605562600
oct1356241724
9451087164
10196690900
11a103286a
1255a55904
1331999063
141c1a0500
1512403bba
hexbb943d4

196690900 has 108 divisors (see below), whose sum is σ = 501835068. Its totient is φ = 66716160.

The previous prime is 196690891. The next prime is 196690919. The reversal of 196690900 is 9096691.

It can be written as a sum of positive squares in 6 ways, for example, as 6140484 + 190550416 = 2478^2 + 13804^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 671154 + ... + 671446.

It is an arithmetic number, because the mean of its divisors is an integer number (4646621).

Almost surely, 2196690900 is an apocalyptic number.

196690900 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 196690900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250917534).

196690900 is an abundant number, since it is smaller than the sum of its proper divisors (305144168).

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

196690900 is a wasteful number, since it uses less digits than its factorization.

196690900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 196690900 is about 14024.6532933973. The cubic root of 196690900 is about 581.5603052714.

The spelling of 196690900 in words is "one hundred ninety-six million, six hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 137 140 175 196 245 274 293 350 490 548 586 685 700 959 980 1172 1225 1370 1465 1918 2051 2450 2740 2930 3425 3836 4102 4795 4900 5860 6713 6850 7325 8204 9590 10255 13426 13700 14357 14650 19180 20510 23975 26852 28714 29300 33565 40141 41020 47950 51275 57428 67130 71785 80282 95900 102550 134260 143570 160564 167825 200705 205100 280987 287140 335650 358925 401410 561974 671300 717850 802820 1003525 1123948 1404935 1435700 1966909 2007050 2809870 3933818 4014100 5619740 7024675 7867636 9834545 14049350 19669090 28098700 39338180 49172725 98345450 196690900