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196411680 = 25325136397
BaseRepresentation
bin10111011010100…
…00000100100000
3111200120202011200
423231100010200
5400240133210
631253441200
74603320543
oct1355200440
9450522150
10196411680
11a0962003
1255940200
13318cbc3a
141c12a85a
151239b0c0
hexbb50120

196411680 has 72 divisors (see below), whose sum is σ = 670259772. Its totient is φ = 52376064.

The previous prime is 196411679. The next prime is 196411687. The reversal of 196411680 is 86114691.

It is a happy number.

196411680 is a `hidden beast` number, since 1 + 9 + 641 + 1 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179667216 + 16744464 = 13404^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (196411687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66759 + ... + 69638.

Almost surely, 2196411680 is an apocalyptic number.

196411680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196411680 is an abundant number, since it is smaller than the sum of its proper divisors (473848092).

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

196411680 is a wasteful number, since it uses less digits than its factorization.

196411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136418 (or 136407 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 196411680 is about 14014.6951447400. The cubic root of 196411680 is about 581.2849829795.

It can be divided in two parts, 19641 and 1680, that added together give a triangular number (21321 = T206).

The spelling of 196411680 in words is "one hundred ninety-six million, four hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 136397 272794 409191 545588 681985 818382 1091176 1227573 1363970 1636764 2045955 2182352 2455146 2727940 3273528 4091910 4364704 4910292 5455880 6137865 6547056 8183820 9820584 10911760 12275730 13094112 16367640 19641168 21823520 24551460 32735280 39282336 49102920 65470560 98205840 196411680