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10283140 = 225731499
BaseRepresentation
bin100111001110…
…100010000100
3201100102211001
4213032202010
510113030030
61004223044
7153256000
oct47164204
921312731
1010283140
11589396a
12353aa84
1321906ca
141519700
15d81cca
hex9ce884

10283140 has 48 divisors (see below), whose sum is σ = 25200000. Its totient is φ = 3523296.

The previous prime is 10283137. The next prime is 10283171. The reversal of 10283140 is 4138201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6111 + ... + 7609.

It is an arithmetic number, because the mean of its divisors is an integer number (525000).

Almost surely, 210283140 is an apocalyptic number.

10283140 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 10283140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600000).

10283140 is an abundant number, since it is smaller than the sum of its proper divisors (14916860).

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

10283140 is a wasteful number, since it uses less digits than its factorization.

10283140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10283140 is about 3206.7335405362. The cubic root of 10283140 is about 217.4579299439.

The spelling of 10283140 in words is "ten million, two hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1499 1715 2998 3430 5996 6860 7495 10493 14990 20986 29980 41972 52465 73451 104930 146902 209860 293804 367255 514157 734510 1028314 1469020 2056628 2570785 5141570 10283140