Search a number
-
+
1264930000 = 2454126493
BaseRepresentation
bin100101101100101…
…0100110011010000
310021011012002202021
41023121110303100
510042310230000
6325303501224
743226504365
oct11331246320
93234162667
101264930000
1159a0246a4
122b3757814
131720a93b9
14bddd246c
15760b411a
hex4b654cd0

1264930000 has 50 divisors (see below), whose sum is σ = 3062546234. Its totient is φ = 505968000.

The previous prime is 1264929979. The next prime is 1264930013. The reversal of 1264930000 is 394621.

It can be written as a sum of positive squares in 5 ways, for example, as 295977616 + 968952384 = 17204^2 + 31128^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 53247 + ... + 73246.

Almost surely, 21264930000 is an apocalyptic number.

1264930000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1264930000 is an abundant number, since it is smaller than the sum of its proper divisors (1797616234).

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

1264930000 is an equidigital number, since it uses as much as digits as its factorization.

1264930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126521 (or 126500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1264930000 is about 35565.8544112186. The cubic root of 1264930000 is about 1081.4891437582.

The spelling of 1264930000 in words is "one billion, two hundred sixty-four million, nine hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 126493 252986 505972 632465 1011944 1264930 2023888 2529860 3162325 5059720 6324650 10119440 12649300 15811625 25298600 31623250 50597200 63246500 79058125 126493000 158116250 252986000 316232500 632465000 1264930000