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10148480 = 275101157
BaseRepresentation
bin100110101101…
…101010000000
3201002121002122
4212231222000
510044222410
61001303412
7152155256
oct46555200
921077078
1010148480
115801781
123494b68
132144324
1414c25d6
15d56e55
hex9ada80

10148480 has 64 divisors (see below), whose sum is σ = 24657480. Its totient is φ = 3993600.

The previous prime is 10148477. The next prime is 10148503. The reversal of 10148480 is 8484101.

It can be written as a sum of positive squares in 4 ways, for example, as 9388096 + 760384 = 3064^2 + 872^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64562 + ... + 64718.

Almost surely, 210148480 is an apocalyptic number.

10148480 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 10148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328740).

10148480 is an abundant number, since it is smaller than the sum of its proper divisors (14509000).

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

10148480 is a wasteful number, since it uses less digits than its factorization.

10148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 10148480 is about 3185.6679048514. The cubic root of 10148480 is about 216.5045361711.

The spelling of 10148480 in words is "ten million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 157 160 202 314 320 404 505 628 640 785 808 1010 1256 1570 1616 2020 2512 3140 3232 4040 5024 6280 6464 8080 10048 12560 12928 15857 16160 20096 25120 31714 32320 50240 63428 64640 79285 100480 126856 158570 253712 317140 507424 634280 1014848 1268560 2029696 2537120 5074240 10148480