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1142160256 = 2767971373
BaseRepresentation
bin100010000010011…
…1111101110000000
32221121011202022201
41010010333232000
54314343112011
6305200242544
740206126166
oct10404775600
92847152281
101142160256
115367a09a6
1227a610454
13152822893
14ab995236
156a412cc1
hex4413fb80

1142160256 has 64 divisors (see below), whose sum is σ = 2334865680. Its totient is φ = 556351488.

The previous prime is 1142160241. The next prime is 1142160277. The reversal of 1142160256 is 6520612411.

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

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 7 ways as a sum of consecutive naturals, for example, 831186 + ... + 832558.

Almost surely, 21142160256 is an apocalyptic number.

1142160256 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 1142160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167432840).

1142160256 is an abundant number, since it is smaller than the sum of its proper divisors (1192705424).

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

1142160256 is an equidigital number, since it uses as much as digits as its factorization.

1142160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1142160256 is about 33795.8615217899. The cubic root of 1142160256 is about 1045.3033637689.

Adding to 1142160256 its reverse (6520612411), we get a palindrome (7662772667).

The spelling of 1142160256 in words is "one billion, one hundred forty-two million, one hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67 97 128 134 194 268 388 536 776 1072 1373 1552 2144 2746 3104 4288 5492 6208 6499 8576 10984 12416 12998 21968 25996 43936 51992 87872 91991 103984 133181 175744 183982 207968 266362 367964 415936 532724 735928 831872 1065448 1471856 2130896 2943712 4261792 5887424 8523584 8923127 11774848 17047168 17846254 35692508 71385016 142770032 285540064 571080128 1142160256