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10620405 = 325536173
BaseRepresentation
bin101000100000…
…110111110101
3201222120110100
4220200313311
510204323110
61015344313
7156162165
oct50406765
921876410
1010620405
115aa42a4
123682099
13227b083
1415a65a5
15debbc0
hexa20df5

10620405 has 48 divisors (see below), whose sum is σ = 19324656. Its totient is φ = 5391360.

The previous prime is 10620397. The next prime is 10620439. The reversal of 10620405 is 50402601.

10620405 = 532 + 542 + ... + 3172.

It is a happy number.

10620405 is a `hidden beast` number, since 1 + 0 + 620 + 40 + 5 = 666.

10620405 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 527076 + 10093329 = 726^2 + 3177^2 .

It is not a de Polignac number, because 10620405 - 23 = 10620397 is a prime.

It is a super-2 number, since 2×106204052 = 225586004728050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145449 + ... + 145521.

It is an arithmetic number, because the mean of its divisors is an integer number (402597).

Almost surely, 210620405 is an apocalyptic number.

10620405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10620405 is a deficient number, since it is larger than the sum of its proper divisors (8704251).

10620405 is a wasteful number, since it uses less digits than its factorization.

10620405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10620405 is about 3258.8962855544. The cubic root of 10620405 is about 219.8097873797.

It can be divided in two parts, 10620 and 405, that added together give a square (11025 = 1052).

The spelling of 10620405 in words is "ten million, six hundred twenty thousand, four hundred five".

Divisors: 1 3 5 9 15 45 53 61 73 159 183 219 265 305 365 477 549 657 795 915 1095 2385 2745 3233 3285 3869 4453 9699 11607 13359 16165 19345 22265 29097 34821 40077 48495 58035 66795 145485 174105 200385 236009 708027 1180045 2124081 3540135 10620405