Search a number
-
+
10074890 = 257229709
BaseRepresentation
bin100110011011…
…101100001010
3200221212011002
4212123230022
510034344030
6555535002
7151430600
oct46335412
920855132
1010074890
115761461
12345a462
132119997
1414a3870
15d40245
hex99bb0a

10074890 has 48 divisors (see below), whose sum is σ = 21853800. Its totient is φ = 3330432.

The previous prime is 10074887. The next prime is 10074893. The reversal of 10074890 is 9847001.

10074890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10074887) and next prime (10074893).

It can be written as a sum of positive squares in 4 ways, for example, as 6315169 + 3759721 = 2513^2 + 1939^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10074893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13856 + ... + 14564.

Almost surely, 210074890 is an apocalyptic number.

10074890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10074890 is an abundant number, since it is smaller than the sum of its proper divisors (11778910).

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

10074890 is a wasteful number, since it uses less digits than its factorization.

10074890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10074890 is about 3174.0967219037. The cubic root of 10074890 is about 215.9799506997.

The spelling of 10074890 in words is "ten million, seventy-four thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 406 490 709 1015 1418 1421 2030 2842 3545 4963 7090 7105 9926 14210 20561 24815 34741 41122 49630 69482 102805 143927 173705 205610 287854 347410 719635 1007489 1439270 2014978 5037445 10074890