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19741968 = 243415233
BaseRepresentation
bin100101101001…
…1110100010000
31101010222220000
41023103310100
520023220333
61543050000
7326542521
oct113236420
941128800
1019741968
1110164484
126740900
134122b4c
14289c848
151aee713
hex12d3d10

19741968 has 50 divisors (see below), whose sum is σ = 57142734. Its totient is φ = 6580224.

The previous prime is 19741957. The next prime is 19741973. The reversal of 19741968 is 86914791.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 13749264 + 5992704 = 3708^2 + 2448^2 .

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 9 ways as a sum of consecutive naturals, for example, 6321 + ... + 8912.

Almost surely, 219741968 is an apocalyptic number.

19741968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19741968 is an abundant number, since it is smaller than the sum of its proper divisors (37400766).

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

19741968 is a wasteful number, since it uses less digits than its factorization.

19741968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15253 (or 15238 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 19741968 is about 4443.1934461601. The cubic root of 19741968 is about 270.2693608171.

The spelling of 19741968 in words is "nineteen million, seven hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 15233 30466 45699 60932 91398 121864 137097 182796 243728 274194 365592 411291 548388 731184 822582 1096776 1233873 1645164 2193552 2467746 3290328 4935492 6580656 9870984 19741968