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1012046490 = 23257213127139
BaseRepresentation
bin111100010100101…
…001101010011010
32121112100021210100
4330110221222122
54033040441430
6244231400230
734036152600
oct7424515232
92545307710
101012046490
1147a301564
12242b23076
131318973a0
14985a5870
155dcb0960
hex3c529a9a

1012046490 has 288 divisors, whose sum is σ = 3346237440. Its totient is φ = 210325248.

The previous prime is 1012046471. The next prime is 1012046507. The reversal of 1012046490 is 946402101.

1012046490 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 4 + 649 + 0 = 666.

1012046490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7280841 + ... + 7280979.

It is an arithmetic number, because the mean of its divisors is an integer number (11618880).

Almost surely, 21012046490 is an apocalyptic number.

1012046490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012046490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673118720).

1012046490 is an abundant number, since it is smaller than the sum of its proper divisors (2334190950).

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

1012046490 is a wasteful number, since it uses less digits than its factorization.

1012046490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1012046490 is about 31812.6781330966. The cubic root of 1012046490 is about 1003.9994795053. Note that the first 3 decimals are identical.

Adding to 1012046490 its reverse (946402101), we get a palindrome (1958448591).

The spelling of 1012046490 in words is "one billion, twelve million, forty-six thousand, four hundred ninety".