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1140053024 = 251131191547
BaseRepresentation
bin100001111110011…
…1101010000100000
32221110012200202002
41003330331100200
54313323144044
6305043143132
740152201515
oct10374752040
92843180662
101140053024
11535591790
12279974aa8
131522656b6
14ab5a730c
156a14874e
hex43f3d420

1140053024 has 96 divisors (see below), whose sum is σ = 2545385472. Its totient is φ = 497952000.

The previous prime is 1140053003. The next prime is 1140053041. The reversal of 1140053024 is 4203500411.

It is a junction number, because it is equal to n+sod(n) for n = 1140052987 and 1140053005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2083919 + ... + 2084465.

It is an arithmetic number, because the mean of its divisors is an integer number (26514432).

Almost surely, 21140053024 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 1140053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272692736).

1140053024 is an abundant number, since it is smaller than the sum of its proper divisors (1405332448).

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

1140053024 is a wasteful number, since it uses less digits than its factorization.

1140053024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1140053024 is about 33764.6712408103. The cubic root of 1140053024 is about 1044.6601228284.

Adding to 1140053024 its reverse (4203500411), we get a palindrome (5343553435).

The spelling of 1140053024 in words is "one billion, one hundred forty million, fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 191 248 341 352 382 496 547 682 764 992 1094 1364 1528 2101 2188 2728 3056 4202 4376 5456 5921 6017 6112 8404 8752 10912 11842 12034 16808 16957 17504 23684 24068 33616 33914 47368 48136 65131 67232 67828 94736 96272 104477 130262 135656 186527 189472 192544 208954 260524 271312 373054 417908 521048 542624 746108 835816 1042096 1149247 1492216 1671632 2084192 2298494 2984432 3238787 3343264 4596988 5968864 6477574 9193976 12955148 18387952 25910296 35626657 36775904 51820592 71253314 103641184 142506628 285013256 570026512 1140053024