Search a number
-
+
63106320 = 2435299067
BaseRepresentation
bin1111000010111…
…0110100010000
311101202010121010
43300232310100
5112123400240
610132330520
71364252304
oct360566420
9141663533
1063106320
1132692792
1219173a40
13100c6b24
148549d04
155818280
hex3c2ed10

63106320 has 80 divisors (see below), whose sum is σ = 202397760. Its totient is φ = 16246272.

The previous prime is 63106301. The next prime is 63106321. The reversal of 63106320 is 2360136.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (63106321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427 + ... + 11493.

It is an arithmetic number, because the mean of its divisors is an integer number (2529972).

Almost surely, 263106320 is an apocalyptic number.

63106320 is a gapful number since it is divisible by the number (60) 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 63106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101198880).

63106320 is an abundant number, since it is smaller than the sum of its proper divisors (139291440).

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

63106320 is a wasteful number, since it uses less digits than its factorization.

63106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 63106320 is about 7943.9486403174. The cubic root of 63106320 is about 398.1294327478.

Adding to 63106320 its reverse (2360136), we get a palindrome (65466456).

The spelling of 63106320 in words is "sixty-three million, one hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 9067 18134 27201 36268 45335 54402 72536 90670 108804 136005 145072 181340 217608 262943 272010 362680 435216 525886 544020 725360 788829 1051772 1088040 1314715 1577658 2103544 2176080 2629430 3155316 3944145 4207088 5258860 6310632 7888290 10517720 12621264 15776580 21035440 31553160 63106320