Search a number
-
+
11324634060 = 22351675232161
BaseRepresentation
bin10101000110000000…
…00011001111001100
31002020020022000110010
422203000003033030
5141143101242220
65111422113220
7550430541555
oct124300031714
932206260403
1011324634060
114891508203
12224071b810
1310b626bbcc
1479605732c
154643171e0
hex2a30033cc

11324634060 has 96 divisors (see below), whose sum is σ = 31974630912. Its totient is φ = 2994693120.

The previous prime is 11324634017. The next prime is 11324634071. The reversal of 11324634060 is 6043642311.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 5239380 + ... + 5241540.

It is an arithmetic number, because the mean of its divisors is an integer number (333069072).

Almost surely, 211324634060 is an apocalyptic number.

11324634060 is a gapful number since it is divisible by the number (10) 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 11324634060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987315456).

11324634060 is an abundant number, since it is smaller than the sum of its proper divisors (20649996852).

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

11324634060 is a wasteful number, since it uses less digits than its factorization.

11324634060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 11324634060 in words is "eleven billion, three hundred twenty-four million, six hundred thirty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 523 668 835 1002 1046 1569 1670 2004 2092 2161 2505 2615 3138 3340 4322 5010 5230 6276 6483 7845 8644 10020 10460 10805 12966 15690 21610 25932 31380 32415 43220 64830 87341 129660 174682 262023 349364 360887 436705 524046 721774 873410 1048092 1082661 1130203 1310115 1443548 1746820 1804435 2165322 2260406 2620230 3390609 3608870 4330644 4520812 5240460 5413305 5651015 6781218 7217740 10826610 11302030 13562436 16953045 21653220 22604060 33906090 67812180 188743901 377487802 566231703 754975604 943719505 1132463406 1887439010 2264926812 2831158515 3774878020 5662317030 11324634060