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10468692 = 22321322369
BaseRepresentation
bin100111111011…
…110101010100
3201200212100100
4213323311110
510134444232
61012214100
7154660653
oct47736524
921625310
1010468692
115a00313
12360a330
132226cc0
14156719a
15dbbc7c
hex9fbd54

10468692 has 36 divisors (see below), whose sum is σ = 28499380. Its totient is φ = 3220992.

The previous prime is 10468691. The next prime is 10468693. The reversal of 10468692 is 29686401.

It is an interprime number because it is at equal distance from previous prime (10468691) and next prime (10468693).

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 7420176 = 1746^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10468691) 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, 10717 + ... + 11652.

Almost surely, 210468692 is an apocalyptic number.

10468692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10468692 is an abundant number, since it is smaller than the sum of its proper divisors (18030688).

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

10468692 is a wasteful number, since it uses less digits than its factorization.

10468692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22392 (or 22387 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10468692 is about 3235.5358134318. The cubic root of 10468692 is about 218.7580990743.

The spelling of 10468692 in words is "ten million, four hundred sixty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 22369 44738 67107 89476 134214 201321 268428 290797 402642 581594 805284 872391 1163188 1744782 2617173 3489564 5234346 10468692