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1140107436 = 22321323910193
BaseRepresentation
bin100001111110100…
…1010100010101100
32221110022110101100
41003331022202230
54313331414221
6305044243100
740152516246
oct10375124254
92843273340
101140107436
11535619656
122799a0490
131522843b0
14ab5bd096
156a159926
hex43f4a8ac

1140107436 has 72 divisors (see below), whose sum is σ = 3116917440. Its totient is φ = 349300224.

The previous prime is 1140107413. The next prime is 1140107453. The reversal of 1140107436 is 6347010411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106756 + ... + 116948.

It is an arithmetic number, because the mean of its divisors is an integer number (43290520).

Almost surely, 21140107436 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 1140107436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558458720).

1140107436 is an abundant number, since it is smaller than the sum of its proper divisors (1976810004).

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

1140107436 is a wasteful number, since it uses less digits than its factorization.

1140107436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10455 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1140107436 is about 33765.4769846362. The cubic root of 1140107436 is about 1044.6767422724.

Adding to 1140107436 its reverse (6347010411), we get a palindrome (7487117847).

The spelling of 1140107436 in words is "one billion, one hundred forty million, one hundred seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 239 468 478 717 956 1434 2151 2868 3107 4302 6214 8604 9321 10193 12428 18642 20386 27963 30579 37284 40772 55926 61158 91737 111852 122316 132509 183474 265018 366948 397527 530036 795054 1192581 1590108 2385162 2436127 4770324 4872254 7308381 9744508 14616762 21925143 29233524 31669651 43850286 63339302 87700572 95008953 126678604 190017906 285026859 380035812 570053718 1140107436