Search a number
-
+
1014252712 = 2311233131601
BaseRepresentation
bin111100011101000…
…100010010101000
32121200111101011021
4330131010102220
54034122041322
6244350542224
734064001664
oct7435042250
92550441137
101014252712
11480579090
12243807974
1313218a645
14989bb8a4
155e0994c7
hex3c7444a8

1014252712 has 64 divisors (see below), whose sum is σ = 2173080960. Its totient is φ = 439296000.

The previous prime is 1014252709. The next prime is 1014252749. The reversal of 1014252712 is 2172524101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632712 + ... + 634312.

It is an arithmetic number, because the mean of its divisors is an integer number (33954390).

Almost surely, 21014252712 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 1014252712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086540480).

1014252712 is an abundant number, since it is smaller than the sum of its proper divisors (1158828248).

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

1014252712 is a wasteful number, since it uses less digits than its factorization.

1014252712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1014252712 is about 31847.3344567485. The cubic root of 1014252712 is about 1004.7285099524.

Adding to 1014252712 its reverse (2172524101), we get a palindrome (3186776813).

The spelling of 1014252712 in words is "one billion, fourteen million, two hundred fifty-two thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 313 506 626 1012 1252 1601 2024 2504 3202 3443 6404 6886 7199 12808 13772 14398 17611 27544 28796 35222 36823 57592 70444 73646 79189 140888 147292 158378 294584 316756 405053 501113 633512 810106 1002226 1620212 2004452 3240424 4008904 5512243 11024486 11525599 22048972 23051198 44097944 46102396 92204792 126781589 253563178 507126356 1014252712