Search a number
-
+
1054216506 = 23737739293
BaseRepresentation
bin111110110101100…
…001000100111010
32201110200202011210
4332311201010322
54124334412011
6252335303550
735060456340
oct7665410472
92643622153
101054216506
114a1094512
1225507abb6
1313a540865
14a0021990
15628406a6
hex3ed6113a

1054216506 has 64 divisors (see below), whose sum is σ = 2508933888. Its totient is φ = 289018368.

The previous prime is 1054216483. The next prime is 1054216511. The reversal of 1054216506 is 6056124501.

It is a super-2 number, since 2×10542165062 = 2222744883045696072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108796 + ... + 118088.

It is an arithmetic number, because the mean of its divisors is an integer number (39202092).

Almost surely, 21054216506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054216506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254466944).

1054216506 is an abundant number, since it is smaller than the sum of its proper divisors (1454717382).

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

1054216506 is a wasteful number, since it uses less digits than its factorization.

1054216506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9415.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1054216506 is about 32468.7004051594. The cubic root of 1054216506 is about 1017.7550607690.

The spelling of 1054216506 in words is "one billion, fifty-four million, two hundred sixteen thousand, five hundred six".

Divisors: 1 2 3 6 7 14 21 37 42 73 74 111 146 219 222 259 438 511 518 777 1022 1533 1554 2701 3066 5402 8103 9293 16206 18586 18907 27879 37814 55758 56721 65051 113442 130102 195153 343841 390306 678389 687682 1031523 1356778 2035167 2063046 2406887 4070334 4748723 4813774 7220661 9497446 14246169 14441322 25100393 28492338 50200786 75301179 150602358 175702751 351405502 527108253 1054216506