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10420224 = 216353
BaseRepresentation
bin100111110000…
…000000000000
3201121101212020
4213300000000
510131421344
61011201440
7154366443
oct47600000
921541766
1010420224
115977961
1235a6280
13220ac19
14155365a
15dac719
hex9f0000

10420224 has 68 divisors (see below), whose sum is σ = 28311336. Its totient is φ = 3407872.

The previous prime is 10420217. The next prime is 10420243. The reversal of 10420224 is 42202401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196582 + ... + 196634.

Almost surely, 210420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155668).

10420224 is an abundant number, since it is smaller than the sum of its proper divisors (17891112).

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

10420224 is an frugal number, since it uses more digits than its factorization.

10420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10420224 is about 3228.0371745071. The cubic root of 10420224 is about 218.4199742898.

Adding to 10420224 its reverse (42202401), we get a palindrome (52622625).

The spelling of 10420224 in words is "ten million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2048 2544 3072 3392 4096 5088 6144 6784 8192 10176 12288 13568 16384 20352 24576 27136 32768 40704 49152 54272 65536 81408 98304 108544 162816 196608 217088 325632 434176 651264 868352 1302528 1736704 2605056 3473408 5210112 10420224