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1140523104 = 25373894363
BaseRepresentation
bin100001111111011…
…0000000001100000
32221111002120120110
41003332300001200
54313433214404
6305101211320
740156200150
oct10376600140
92844076513
101140523104
11535882986
12279b60b40
1315239b656
14ab68a760
156a1dcb89
hex43fb0060

1140523104 has 96 divisors (see below), whose sum is σ = 3431151360. Its totient is φ = 324951552.

The previous prime is 1140523093. The next prime is 1140523121. The reversal of 1140523104 is 4013250411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 259227 + ... + 263589.

It is an arithmetic number, because the mean of its divisors is an integer number (35741160).

Almost surely, 21140523104 is an apocalyptic number.

1140523104 is a gapful number since it is divisible by the number (14) 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 1140523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715575680).

1140523104 is an abundant number, since it is smaller than the sum of its proper divisors (2290628256).

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

1140523104 is a wasteful number, since it uses less digits than its factorization.

1140523104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1140523104 is about 33771.6316455098. The cubic root of 1140523104 is about 1044.8036852594.

Adding to 1140523104 its reverse (4013250411), we get a palindrome (5153773515).

The spelling of 1140523104 in words is "one billion, one hundred forty million, five hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 389 672 778 1167 1556 2334 2723 3112 4363 4668 5446 6224 8169 8726 9336 10892 12448 13089 16338 17452 18672 21784 26178 30541 32676 34904 37344 43568 52356 61082 65352 69808 87136 91623 104712 122164 130704 139616 183246 209424 244328 261408 366492 418848 488656 732984 977312 1465968 1697207 2931936 3394414 5091621 6788828 10183242 11880449 13577656 20366484 23760898 27155312 35641347 40732968 47521796 54310624 71282694 81465936 95043592 142565388 162931872 190087184 285130776 380174368 570261552 1140523104