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196095360 = 2735109937
BaseRepresentation
bin10111011000000…
…10110110000000
3111122222200021010
423230002312000
5400200022420
631243000520
74600532406
oct1354026600
9448880233
10196095360
11a076638a
1255809140
133181ac76
141c087476
15123374e0
hexbb02d80

196095360 has 128 divisors (see below), whose sum is σ = 631461600. Its totient is φ = 51757056.

The previous prime is 196095359. The next prime is 196095373. The reversal of 196095360 is 63590691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208812 + ... + 209748.

Almost surely, 2196095360 is an apocalyptic number.

196095360 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 196095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315730800).

196095360 is an abundant number, since it is smaller than the sum of its proper divisors (435366240).

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

196095360 is a wasteful number, since it uses less digits than its factorization.

196095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 196095360 is about 14003.4053001404. The cubic root of 196095360 is about 580.9727631519.

The spelling of 196095360 in words is "one hundred ninety-six million, ninety-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 218 240 320 327 384 436 480 545 640 654 872 937 960 1090 1308 1635 1744 1874 1920 2180 2616 2811 3270 3488 3748 4360 4685 5232 5622 6540 6976 7496 8720 9370 10464 11244 13080 13952 14055 14992 17440 18740 20928 22488 26160 28110 29984 34880 37480 41856 44976 52320 56220 59968 69760 74960 89952 102133 104640 112440 119936 149920 179904 204266 209280 224880 299840 306399 359808 408532 449760 510665 599680 612798 817064 899520 1021330 1225596 1531995 1634128 1799040 2042660 2451192 3063990 3268256 4085320 4902384 6127980 6536512 8170640 9804768 12255960 13073024 16341280 19609536 24511920 32682560 39219072 49023840 65365120 98047680 196095360