Search a number
-
+
10264244620 = 2257240126119
BaseRepresentation
bin10011000111100101…
…11111000110001100
3222111022222122121011
421203302333012030
5132010121311440
64414302215004
7512233432300
oct114362770614
928438878534
1010264244620
1143979979a3
121ba5584464
13c77679736
146d52a9d00
154011a79ea
hex263cbf18c

10264244620 has 72 divisors (see below), whose sum is σ = 25137574560. Its totient is φ = 3510259200.

The previous prime is 10264244597. The next prime is 10264244621. The reversal of 10264244620 is 2644246201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10264244621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379921 + ... + 406039.

It is an arithmetic number, because the mean of its divisors is an integer number (349132980).

Almost surely, 210264244620 is an apocalyptic number.

10264244620 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 10264244620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568787280).

10264244620 is an abundant number, since it is smaller than the sum of its proper divisors (14873329940).

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

10264244620 is a wasteful number, since it uses less digits than its factorization.

10264244620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26543 (or 26534 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 10264244620 in words is "ten billion, two hundred sixty-four million, two hundred forty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 401 490 802 980 1604 2005 2807 4010 5614 8020 11228 14035 19649 26119 28070 39298 52238 56140 78596 98245 104476 130595 182833 196490 261190 365666 392980 522380 731332 914165 1279831 1828330 2559662 3656660 5119324 6399155 10473719 12798310 20947438 25596620 41894876 52368595 73316033 104737190 146632066 209474380 293264132 366580165 513212231 733160330 1026424462 1466320660 2052848924 2566061155 5132122310 10264244620