Search a number
-
+
1140860448 = 2532713101431
BaseRepresentation
bin100010000000000…
…0010011000100000
32221111201201022200
41010000002120200
54314030013243
6305112333200
740162103520
oct10400023040
92844651280
101140860448
11535a93382
1227a0a4200
13152489070
14ab737680
156a257ad3
hex44002620

1140860448 has 288 divisors, whose sum is σ = 4041902592. Its totient is φ = 297216000.

The previous prime is 1140860423. The next prime is 1140860449. The reversal of 1140860448 is 8440680411.

1140860448 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 8 + 604 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1140860449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2646793 + ... + 2647223.

It is an arithmetic number, because the mean of its divisors is an integer number (14034384).

Almost surely, 21140860448 is an apocalyptic number.

1140860448 is a gapful number since it is divisible by the number (18) 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 1140860448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020951296).

1140860448 is an abundant number, since it is smaller than the sum of its proper divisors (2901042144).

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

1140860448 is a wasteful number, since it uses less digits than its factorization.

1140860448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1140860448 is about 33776.6257639806. The cubic root of 1140860448 is about 1044.9066858062.

The spelling of 1140860448 in words is "one billion, one hundred forty million, eight hundred sixty thousand, four hundred forty-eight".