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1004122860 = 22351331131317
BaseRepresentation
bin111011110110011…
…011001011101100
32120222102201121120
4323312123023230
54024023412420
6243345500540
733611621616
oct7366331354
92528381546
101004122860
1147588a404
12240341750
13130051950
1497501db6
155d247d40
hex3bd9b2ec

1004122860 has 192 divisors, whose sum is σ = 3159281664. Its totient is φ = 236620800.

The previous prime is 1004122853. The next prime is 1004122897. The reversal of 1004122860 is 682214001.

It is a self number, because there is not a number n which added to its sum of digits gives 1004122860.

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, 3167422 + ... + 3167738.

It is an arithmetic number, because the mean of its divisors is an integer number (16454592).

Almost surely, 21004122860 is an apocalyptic number.

1004122860 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 1004122860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579640832).

1004122860 is an abundant number, since it is smaller than the sum of its proper divisors (2155158804).

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

1004122860 is a wasteful number, since it uses less digits than its factorization.

1004122860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1004122860 is about 31687.8976898121. The cubic root of 1004122860 is about 1001.3724023169.

Adding to 1004122860 its reverse (682214001), we get a palindrome (1686336861).

The spelling of 1004122860 in words is "one billion, four million, one hundred twenty-two thousand, eight hundred sixty".