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10420752 = 243613559
BaseRepresentation
bin100111110000…
…001000010000
3201121102120210
4213300020100
510131431002
61011204120
7154401126
oct47601020
921542523
1010420752
1159782a1
1235a6640
13220b234
141553916
15dac96c
hex9f0210

10420752 has 40 divisors (see below), whose sum is σ = 27369280. Its totient is φ = 3415680.

The previous prime is 10420723. The next prime is 10420777. The reversal of 10420752 is 25702401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 4707.

It is an arithmetic number, because the mean of its divisors is an integer number (684232).

Almost surely, 210420752 is an apocalyptic number.

10420752 is a gapful number since it is divisible by the number (12) 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 10420752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684640).

10420752 is an abundant number, since it is smaller than the sum of its proper divisors (16948528).

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

10420752 is a wasteful number, since it uses less digits than its factorization.

10420752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 10420752 is about 3228.1189569159. The cubic root of 10420752 is about 218.4236633915.

The spelling of 10420752 in words is "ten million, four hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 3559 7118 10677 14236 21354 28472 42708 56944 85416 170832 217099 434198 651297 868396 1302594 1736792 2605188 3473584 5210376 10420752