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196414736 = 24721714737
BaseRepresentation
bin10111011010100…
…00110100010000
3111200120220100212
423231100310100
5400240232421
631253503252
74603332500
oct1355206420
9450526325
10196414736
11a0964331
1255941b28
133190044b
141c12ba00
151239be5b
hexbb50d10

196414736 has 60 divisors (see below), whose sum is σ = 468756828. Its totient is φ = 79220736.

The previous prime is 196414727. The next prime is 196414747. The reversal of 196414736 is 637414691.

196414736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 160174336 + 36240400 = 12656^2 + 6020^2 .

It is a junction number, because it is equal to n+sod(n) for n = 196414693 and 196414702.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5960 + ... + 20696.

Almost surely, 2196414736 is an apocalyptic number.

196414736 is a gapful number since it is divisible by the number (16) 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 196414736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234378414).

196414736 is an abundant number, since it is smaller than the sum of its proper divisors (272342092).

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

196414736 is a wasteful number, since it uses less digits than its factorization.

196414736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14776 (or 14763 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 196414736 is about 14014.8041727311. The cubic root of 196414736 is about 581.2879977318.

It can be divided in two parts, 196 and 414736, that multiplied together give a square (81288256 = 90162).

The spelling of 196414736 in words is "one hundred ninety-six million, four hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 3332 6664 13328 14737 29474 58948 103159 117896 206318 235792 250529 412636 501058 722113 825272 1002116 1444226 1650544 1753703 2004232 2888452 3507406 4008464 5776904 7014812 11553808 12275921 14029624 24551842 28059248 49103684 98207368 196414736