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10410190380 = 22325172293683
BaseRepresentation
bin10011011000111111…
…01110011000101100
3222212111121110112200
421230133232120230
5132310002043010
64440554301500
7515655105162
oct115437563054
928774543480
1010410190380
114462310127
122026427890
13c9b989185
1470a81b232
1540ddd5cc0
hex26c7ee62c

10410190380 has 216 divisors, whose sum is σ = 33708113712. Its totient is φ = 2600024064.

The previous prime is 10410190339. The next prime is 10410190387. The reversal of 10410190380 is 8309101401.

It is not an unprimeable number, because it can be changed into a prime (10410190387) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15241519 + ... + 15242201.

It is an arithmetic number, because the mean of its divisors is an integer number (156056082).

Almost surely, 210410190380 is an apocalyptic number.

10410190380 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 10410190380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854056856).

10410190380 is an abundant number, since it is smaller than the sum of its proper divisors (23297923332).

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

10410190380 is a wasteful number, since it uses less digits than its factorization.

10410190380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 10410190380 its reverse (8309101401), we get a palindrome (18719291781).

It can be divided in two parts, 104101 and 90380, that added together give a 4-th power (194481 = 214).

The spelling of 10410190380 in words is "ten billion, four hundred ten million, one hundred ninety thousand, three hundred eighty".