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1112405376 = 27323312433
BaseRepresentation
bin100001001001101…
…1111010110000000
32212112012001022010
41002103133112000
54234233433001
6302214412520
736365201235
oct10223372600
92775161263
101112405376
11520a18695
12270661140
13149605344
14a7a4b78c
15679d68d6
hex424df580

1112405376 has 64 divisors (see below), whose sum is σ = 2967747120. Its totient is φ = 369180672.

The previous prime is 1112405341. The next prime is 1112405377. The reversal of 1112405376 is 6735042111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112405377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 83256 + ... + 95688.

Almost surely, 21112405376 is an apocalyptic number.

1112405376 is a gapful number since it is divisible by the number (16) 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 1112405376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483873560).

1112405376 is an abundant number, since it is smaller than the sum of its proper divisors (1855341744).

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

1112405376 is a wasteful number, since it uses less digits than its factorization.

1112405376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1112405376 is about 33352.7416564216. The cubic root of 1112405376 is about 1036.1461707959.

Adding to 1112405376 its reverse (6735042111), we get a palindrome (7847447487).

The spelling of 1112405376 in words is "one billion, one hundred twelve million, four hundred five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 384 466 699 932 1398 1864 2796 3728 5592 7456 11184 12433 14912 22368 24866 29824 37299 44736 49732 74598 89472 99464 149196 198928 298392 397856 596784 795712 1193568 1591424 2387136 2896889 4774272 5793778 8690667 11587556 17381334 23175112 34762668 46350224 69525336 92700448 139050672 185400896 278101344 370801792 556202688 1112405376