Search a number
-
+
1131513984 = 2732982217
BaseRepresentation
bin100001101110001…
…1000100010000000
32220212010212101100
41003130120202000
54304131421414
6304140134400
740016465406
oct10334304200
92825125340
101131513984
1153078a227
12276b37400
13150565b03
14aa3c3476
156950d609
hex43718880

1131513984 has 48 divisors (see below), whose sum is σ = 3256052670. Its totient is φ = 377170944.

The previous prime is 1131513947. The next prime is 1131513989. The reversal of 1131513984 is 4893151311.

It is a happy number.

1131513984 is a `hidden beast` number, since 1 + 131 + 513 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 638673984 + 492840000 = 25272^2 + 22200^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (1131513989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 489957 + ... + 492260.

Almost surely, 21131513984 is an apocalyptic number.

It is an amenable number.

1131513984 is an abundant number, since it is smaller than the sum of its proper divisors (2124538686).

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

1131513984 is an equidigital number, since it uses as much as digits as its factorization.

1131513984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982237 (or 982222 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1131513984 is about 33637.9842440061. The cubic root of 1131513984 is about 1042.0454026093.

The spelling of 1131513984 in words is "one billion, one hundred thirty-one million, five hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 982217 1964434 2946651 3928868 5893302 7857736 8839953 11786604 15715472 17679906 23573208 31430944 35359812 47146416 62861888 70719624 94292832 125723776 141439248 188585664 282878496 377171328 565756992 1131513984