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10148460 = 2235773331
BaseRepresentation
bin100110101101…
…101001101100
3201002121001220
4212231221230
510044222320
61001303340
7152155230
oct46555154
921077056
1010148460
115801763
123494b50
13214430a
1414c25c0
15d56e40
hex9ada6c

10148460 has 96 divisors (see below), whose sum is σ = 33019392. Its totient is φ = 2280960.

The previous prime is 10148441. The next prime is 10148477. The reversal of 10148460 is 6484101.

It is a self number, because there is not a number n which added to its sum of digits gives 10148460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30495 + ... + 30825.

It is an arithmetic number, because the mean of its divisors is an integer number (343952).

Almost surely, 210148460 is an apocalyptic number.

10148460 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 10148460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509696).

10148460 is an abundant number, since it is smaller than the sum of its proper divisors (22870932).

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

10148460 is a wasteful number, since it uses less digits than its factorization.

10148460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

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

The square root of 10148460 is about 3185.6647657907. The cubic root of 10148460 is about 216.5043939464.

The spelling of 10148460 in words is "ten million, one hundred forty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 331 365 420 438 511 662 730 876 993 1022 1095 1324 1460 1533 1655 1986 2044 2190 2317 2555 3066 3310 3972 4380 4634 4965 5110 6132 6620 6951 7665 9268 9930 10220 11585 13902 15330 19860 23170 24163 27804 30660 34755 46340 48326 69510 72489 96652 120815 139020 144978 169141 241630 289956 338282 362445 483260 507423 676564 724890 845705 1014846 1449780 1691410 2029692 2537115 3382820 5074230 10148460