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196957680 = 2435820657
BaseRepresentation
bin10111011110101…
…01010111110000
3111201121111010220
423233111113300
5400410121210
631313253040
74611053433
oct1357252760
9451544126
10196957680
11a11a5247
1255b64180
1331a6060a
141c22d81a
1512457c70
hexbbd55f0

196957680 has 40 divisors (see below), whose sum is σ = 610569552. Its totient is φ = 52521984.

The previous prime is 196957669. The next prime is 196957681. The reversal of 196957680 is 86759691.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196957681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410089 + ... + 410568.

Almost surely, 2196957680 is an apocalyptic number.

196957680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196957680 is an abundant number, since it is smaller than the sum of its proper divisors (413611872).

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

196957680 is a wasteful number, since it uses less digits than its factorization.

196957680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820673 (or 820667 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 196957680 is about 14034.1611790659. The cubic root of 196957680 is about 581.8231179150.

The spelling of 196957680 in words is "one hundred ninety-six million, nine hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 820657 1641314 2461971 3282628 4103285 4923942 6565256 8206570 9847884 12309855 13130512 16413140 19695768 24619710 32826280 39391536 49239420 65652560 98478840 196957680