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196450920 = 233656737
BaseRepresentation
bin10111011010110…
…01101001101000
3111200122202000000
423231121221220
5400242412140
631254343000
74603543131
oct1355315150
9450582000
10196450920
11a0989536
125595aa60
1331913a63
141c13ac88
15123a7a30
hexbb59a68

196450920 has 112 divisors (see below), whose sum is σ = 662817060. Its totient is φ = 52379136.

The previous prime is 196450907. The next prime is 196450931. The reversal of 196450920 is 29054691.

196450920 is a `hidden beast` number, since 1 + 9 + 645 + 0 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195608196 + 842724 = 13986^2 + 918^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25792 + ... + 32528.

Almost surely, 2196450920 is an apocalyptic number.

196450920 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 196450920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331408530).

196450920 is an abundant number, since it is smaller than the sum of its proper divisors (466366140).

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

196450920 is an equidigital number, since it uses as much as digits as its factorization.

196450920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6747 counting only the distinct ones).

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

The square root of 196450920 is about 14016.0950339244. The cubic root of 196450920 is about 581.3236909692.

The spelling of 196450920 in words is "one hundred ninety-six million, four hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 6737 7290 9720 13474 14580 20211 26948 29160 33685 40422 53896 60633 67370 80844 101055 121266 134740 161688 181899 202110 242532 269480 303165 363798 404220 485064 545697 606330 727596 808440 909495 1091394 1212660 1455192 1637091 1818990 2182788 2425320 2728485 3274182 3637980 4365576 4911273 5456970 6548364 7275960 8185455 9822546 10913940 13096728 16370910 19645092 21827880 24556365 32741820 39290184 49112730 65483640 98225460 196450920