Search a number
-
+
10219126260 = 22357611492677
BaseRepresentation
bin10011000010001101…
…10111110111110100
3222101012002101211210
421201012313313310
5131412044020020
64410011201420
7511145066010
oct114106676764
928335071753
1010219126260
1143744808a2
121b92446270
13c6b210295
146cd2c3540
153ec2443e0
hex2611b7df4

10219126260 has 192 divisors, whose sum is σ = 33472857600. Its totient is φ = 2281236480.

The previous prime is 10219126243. The next prime is 10219126277. The reversal of 10219126260 is 6262191201.

It is an interprime number because it is at equal distance from previous prime (10219126243) and next prime (10219126277).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3816042 + ... + 3818718.

It is an arithmetic number, because the mean of its divisors is an integer number (174337800).

Almost surely, 210219126260 is an apocalyptic number.

10219126260 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 10219126260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736428800).

10219126260 is an abundant number, since it is smaller than the sum of its proper divisors (23253731340).

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

10219126260 is a wasteful number, since it uses less digits than its factorization.

10219126260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 10219126260 in words is "ten billion, two hundred nineteen million, one hundred twenty-six thousand, two hundred sixty".