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196124160 = 293525537
BaseRepresentation
bin10111011000010…
…01111000000000
3111200001010202210
423230021320000
5400201433120
631243342120
74601012361
oct1354117000
9450033683
10196124160
11a0785a91
1255821940
133182b0cb
141c093b68
1512340ce0
hexbb09e00

196124160 has 80 divisors (see below), whose sum is σ = 627008976. Its totient is φ = 52297728.

The previous prime is 196124143. The next prime is 196124167. The reversal of 196124160 is 61421691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1961241602 = 76929372271411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196124167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5089 + ... + 20448.

Almost surely, 2196124160 is an apocalyptic number.

196124160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196124160 is an abundant number, since it is smaller than the sum of its proper divisors (430884816).

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

196124160 is an equidigital number, since it uses as much as digits as its factorization.

196124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25563 (or 25547 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 196124160 is about 14004.4335836906. The cubic root of 196124160 is about 581.0012037306.

The spelling of 196124160 in words is "one hundred ninety-six million, one hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 25537 51074 76611 102148 127685 153222 204296 255370 306444 383055 408592 510740 612888 766110 817184 1021480 1225776 1532220 1634368 2042960 2451552 3064440 3268736 4085920 4903104 6128880 6537472 8171840 9806208 12257760 13074944 16343680 19612416 24515520 32687360 39224832 49031040 65374720 98062080 196124160