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1140000928 = 251121115349
BaseRepresentation
bin100001111110011…
…0000100010100000
32221110010001021121
41003330300202200
54313320012203
6305042102024
740151563603
oct10374604240
92843101247
101140000928
11535556630
1227994a914
13152247a81
14ab59233a
156a1380bd
hex43f308a0

1140000928 has 48 divisors (see below), whose sum is σ = 2460175200. Its totient is φ = 515692800.

The previous prime is 1140000919. The next prime is 1140000947. The reversal of 1140000928 is 8290000411.

It is a happy number.

It is a super-2 number, since 2×11400009282 = 2599204231681722368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66598 + ... + 81946.

It is an arithmetic number, because the mean of its divisors is an integer number (51253650).

Almost surely, 21140000928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230087600).

1140000928 is an abundant number, since it is smaller than the sum of its proper divisors (1320174272).

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

1140000928 is a wasteful number, since it uses less digits than its factorization.

1140000928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581 (or 15573 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1140000928 is about 33763.8997747594. The cubic root of 1140000928 is about 1044.6442102812.

The spelling of 1140000928 in words is "one billion, one hundred forty million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 211 352 422 844 1688 2321 3376 4642 6752 9284 15349 18568 30698 37136 61396 74272 122792 168839 245584 337678 491168 675356 1350712 2701424 3238639 5402848 6477278 12954556 25909112 35625029 51818224 71250058 103636448 142500116 285000232 570000464 1140000928