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10074420 = 2232597577
BaseRepresentation
bin100110011011…
…100100110100
3200221211111200
4212123210310
510034340140
6555532500
7151426326
oct46334464
920854450
1010074420
115761074
12345a130
1321196c5
1414a3616
15d40030
hex99b934

10074420 has 72 divisors (see below), whose sum is σ = 30927624. Its totient is φ = 2654208.

The previous prime is 10074419. The next prime is 10074431. The reversal of 10074420 is 2447001.

It is a happy number.

10074420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3663396 + 6411024 = 1914^2 + 2532^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10074393 and 10074402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17172 + ... + 17748.

Almost surely, 210074420 is an apocalyptic number.

10074420 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 10074420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15463812).

10074420 is an abundant number, since it is smaller than the sum of its proper divisors (20853204).

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

10074420 is a wasteful number, since it uses less digits than its factorization.

10074420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10074420 is about 3174.0226842290. The cubic root of 10074420 is about 215.9765921136.

The spelling of 10074420 in words is "ten million, seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 577 582 873 970 1154 1164 1455 1731 1746 1940 2308 2885 2910 3462 3492 4365 5193 5770 5820 6924 8655 8730 10386 11540 17310 17460 20772 25965 34620 51930 55969 103860 111938 167907 223876 279845 335814 503721 559690 671628 839535 1007442 1119380 1679070 2014884 2518605 3358140 5037210 10074420