Search a number
-
+
1013353668 = 2232317271249
BaseRepresentation
bin111100011001101…
…000110011000100
32121121210200220100
4330121220303010
54033404304133
6244315404100
734053235605
oct7431506304
92547720810
101013353668
11480014678
12243453630
13131c34372
1498825dac
155de6ce13
hex3c668cc4

1013353668 has 72 divisors (see below), whose sum is σ = 2649920000. Its totient is φ = 326177280.

The previous prime is 1013353643. The next prime is 1013353687. The reversal of 1013353668 is 8663533101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810708 + ... + 811956.

Almost surely, 21013353668 is an apocalyptic number.

1013353668 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 1013353668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324960000).

1013353668 is an abundant number, since it is smaller than the sum of its proper divisors (1636566332).

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

1013353668 is a wasteful number, since it uses less digits than its factorization.

1013353668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1013353668 is about 31833.2164256143. The cubic root of 1013353668 is about 1004.4315549772.

Adding to 1013353668 its reverse (8663533101), we get a palindrome (9676886769).

The spelling of 1013353668 in words is "one billion, thirteen million, three hundred fifty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 727 1116 1249 1454 2181 2498 2908 3747 4362 4996 6543 7494 8724 11241 13086 14988 22482 22537 26172 38719 44964 45074 67611 77438 90148 116157 135222 154876 202833 232314 270444 348471 405666 464628 696942 811332 908023 1393884 1816046 2724069 3632092 5448138 8172207 10896276 16344414 28148713 32688828 56297426 84446139 112594852 168892278 253338417 337784556 506676834 1013353668