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196575840 = 25325136511
BaseRepresentation
bin10111011011110…
…00001001100000
3111200220002100200
423231320021200
5400310411330
631301145200
74604603256
oct1355701140
9450802320
10196575840
11a0a6437a
12559bb200
1331958886
141c1705d6
15123cea60
hexbb78260

196575840 has 72 divisors (see below), whose sum is σ = 670819968. Its totient is φ = 52419840.

The previous prime is 196575839. The next prime is 196575851. The reversal of 196575840 is 48575691.

196575840 is a `hidden beast` number, since 1 + 9 + 65 + 7 + 584 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66816 + ... + 69695.

It is an arithmetic number, because the mean of its divisors is an integer number (9316944).

Almost surely, 2196575840 is an apocalyptic number.

196575840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196575840 is an abundant number, since it is smaller than the sum of its proper divisors (474244128).

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

196575840 is a wasteful number, since it uses less digits than its factorization.

196575840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136532 (or 136521 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 196575840 is about 14020.5506311272. The cubic root of 196575840 is about 581.4468830087.

The spelling of 196575840 in words is "one hundred ninety-six million, five hundred seventy-five thousand, eight hundred forty".

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 136511 273022 409533 546044 682555 819066 1092088 1228599 1365110 1638132 2047665 2184176 2457198 2730220 3276264 4095330 4368352 4914396 5460440 6142995 6552528 8190660 9828792 10920880 12285990 13105056 16381320 19657584 21841760 24571980 32762640 39315168 49143960 65525280 98287920 196575840