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10050480 = 243551147
BaseRepresentation
bin100110010101…
…101110110000
3200220121200000
4212111232300
510033103410
6555230000
7151266456
oct46255660
920817600
1010050480
115745090
123448300
13210b83b
1414989d6
15d37dc0
hex995bb0

10050480 has 240 divisors, whose sum is σ = 38997504. Its totient is φ = 2384640.

The previous prime is 10050463. The next prime is 10050493. The reversal of 10050480 is 8405001.

10050480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213817 + ... + 213863.

Almost surely, 210050480 is an apocalyptic number.

10050480 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 10050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

10050480 is an abundant number, since it is smaller than the sum of its proper divisors (28947024).

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

10050480 is a wasteful number, since it uses less digits than its factorization.

10050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10050480 is about 3170.2492015613. The cubic root of 10050480 is about 215.8053802525.

Adding to 10050480 its reverse (8405001), we get a palindrome (18455481).

The spelling of 10050480 in words is "ten million, fifty thousand, four hundred eighty".