Search a number
-
+
63958020 = 22357197773
BaseRepresentation
bin1111001111111…
…0110000000100
311110100101220120
43303332300010
5112333124040
610202501540
71404430350
oct363766004
9143311816
1063958020
1133114675
12195048b0
13103346a9
1486cc460
1559357d0
hex3cfec04

63958020 has 96 divisors (see below), whose sum is σ = 205970688. Its totient is φ = 14525952.

The previous prime is 63958019. The next prime is 63958031. The reversal of 63958020 is 2085936.

It is a happy number.

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, 82354 + ... + 83126.

It is an arithmetic number, because the mean of its divisors is an integer number (2145528).

Almost surely, 263958020 is an apocalyptic number.

63958020 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 63958020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102985344).

63958020 is an abundant number, since it is smaller than the sum of its proper divisors (142012668).

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

63958020 is a wasteful number, since it uses less digits than its factorization.

63958020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 63958020 is about 7997.3758196048. The cubic root of 63958020 is about 399.9125225373.

The spelling of 63958020 in words is "sixty-three million, nine hundred fifty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 394 420 591 773 788 985 1182 1379 1546 1970 2319 2364 2758 2955 3092 3865 3940 4137 4638 5411 5516 5910 6895 7730 8274 9276 10822 11595 11820 13790 15460 16233 16548 20685 21644 23190 27055 27580 32466 41370 46380 54110 64932 81165 82740 108220 152281 162330 304562 324660 456843 609124 761405 913686 1065967 1522810 1827372 2131934 2284215 3045620 3197901 4263868 4568430 5329835 6395802 9136860 10659670 12791604 15989505 21319340 31979010 63958020