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10575420 = 2235434099
BaseRepresentation
bin101000010101…
…111000111100
3201220021202020
4220111320330
510201403140
61014400140
7155614062
oct50257074
921807666
1010575420
115a73519
123660050
13226375b
141594032
15ddd6d0
hexa15e3c

10575420 has 48 divisors (see below), whose sum is σ = 30307200. Its totient is φ = 2753856.

The previous prime is 10575373. The next prime is 10575431. The reversal of 10575420 is 2457501.

10575420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105754202 = 223679016352800, which contains 22 as substring.

It is a congruent number.

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, 531 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (631400).

Almost surely, 210575420 is an apocalyptic number.

10575420 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 10575420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153600).

10575420 is an abundant number, since it is smaller than the sum of its proper divisors (19731780).

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

10575420 is a wasteful number, since it uses less digits than its factorization.

10575420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 10575420 is about 3251.9870848452. The cubic root of 10575420 is about 219.4989976829.

The spelling of 10575420 in words is "ten million, five hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4099 8198 12297 16396 20495 24594 40990 49188 61485 81980 122970 176257 245940 352514 528771 705028 881285 1057542 1762570 2115084 2643855 3525140 5287710 10575420