Search a number
-
+
663192740 = 225713136161
BaseRepresentation
bin100111100001111…
…000010010100100
31201012220200102002
4213201320102210
52324234131430
6145450304432
722302021350
oct4741702244
91635820362
10663192740
1131039a581
12166128118
13a7522b52
1464116460
153d351845
hex278784a4

663192740 has 48 divisors (see below), whose sum is σ = 1603857024. Its totient is φ = 225638400.

The previous prime is 663192731. The next prime is 663192743. The reversal of 663192740 is 47291366.

It is a super-2 number, since 2×6631927402 = 879649220777415200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 663192694 and 663192703.

It is not an unprimeable number, because it can be changed into a prime (663192743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 260 + ... + 36420.

It is an arithmetic number, because the mean of its divisors is an integer number (33413688).

Almost surely, 2663192740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663192740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801928512).

663192740 is an abundant number, since it is smaller than the sum of its proper divisors (940664284).

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

663192740 is a wasteful number, since it uses less digits than its factorization.

663192740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36308 (or 36306 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 663192740 is about 25752.5288078666. The cubic root of 663192740 is about 872.0604442151.

The spelling of 663192740 in words is "six hundred sixty-three million, one hundred ninety-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1310 1834 2620 3668 4585 9170 18340 36161 72322 144644 180805 253127 361610 506254 723220 1012508 1265635 2531270 4737091 5062540 9474182 18948364 23685455 33159637 47370910 66319274 94741820 132638548 165798185 331596370 663192740