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1140462064 = 24727319927
BaseRepresentation
bin100001111111010…
…0001000111110000
32221110222110211201
41003332201013300
54313424241224
6305100020544
740155524200
oct10376410760
92843873751
101140462064
11535841035
12279b31754
13152379931
14ab672400
156a1c9a44
hex43fa11f0

1140462064 has 60 divisors (see below), whose sum is σ = 2605745424. Its totient is φ = 482049792.

The previous prime is 1140462049. The next prime is 1140462067. The reversal of 1140462064 is 4602640411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140462067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47269 + ... + 67195.

Almost surely, 21140462064 is an apocalyptic number.

1140462064 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 1140462064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302872712).

1140462064 is an abundant number, since it is smaller than the sum of its proper divisors (1465283360).

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

1140462064 is a wasteful number, since it uses less digits than its factorization.

1140462064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022 (or 20009 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1140462064 is about 33770.7279163479. The cubic root of 1140462064 is about 1044.7850458724.

The spelling of 1140462064 in words is "one billion, one hundred forty million, four hundred sixty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 392 511 584 784 1022 1168 2044 3577 4088 7154 8176 14308 19927 28616 39854 57232 79708 139489 159416 278978 318832 557956 976423 1115912 1454671 1952846 2231824 2909342 3905692 5818684 7811384 10182697 11637368 15622768 20365394 23274736 40730788 71278879 81461576 142557758 162923152 285115516 570231032 1140462064