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10420713 = 321816397
BaseRepresentation
bin100111110000…
…000111101001
3201121102112100
4213300013221
510131430323
61011204013
7154401042
oct47600751
921542470
1010420713
115978266
1235a6609
13220b204
1415538c9
15dac943
hex9f01e9

10420713 has 12 divisors (see below), whose sum is σ = 15137668. Its totient is φ = 6907680.

The previous prime is 10420703. The next prime is 10420723. The reversal of 10420713 is 31702401.

10420713 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 an interprime number because it is at equal distance from previous prime (10420703) and next prime (10420723).

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 10323369 = 312^2 + 3213^2 .

It is not a de Polignac number, because 10420713 - 218 = 10158569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10420703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1570 + ... + 4827.

Almost surely, 210420713 is an apocalyptic number.

It is an amenable number.

10420713 is a deficient number, since it is larger than the sum of its proper divisors (4716955).

10420713 is a wasteful number, since it uses less digits than its factorization.

10420713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10420713 is about 3228.1129162407. The cubic root of 10420713 is about 218.4233909053.

It can be divided in two parts, 1042071 and 3, that multiplied together give a palindrome (3126213).

The spelling of 10420713 in words is "ten million, four hundred twenty thousand, seven hundred thirteen".

Divisors: 1 3 9 181 543 1629 6397 19191 57573 1157857 3473571 10420713