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10397628 = 2232288823
BaseRepresentation
bin100111101010…
…011110111100
3201120020212100
4213222132330
510130211003
61010505100
7154243533
oct47523674
921506770
1010397628
11596198a
123595190
132200857
14154931a
15da5ba3
hex9ea7bc

10397628 has 18 divisors (see below), whose sum is σ = 26282984. Its totient is φ = 3465864.

The previous prime is 10397627. The next prime is 10397671. The reversal of 10397628 is 82679301.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×103976284 (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 288823 = 10397628 / (1 + 0 + 3 + 9 + 7 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 10397592 and 10397601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10397627) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144376 + ... + 144447.

Almost surely, 210397628 is an apocalyptic number.

10397628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10397628 is an abundant number, since it is smaller than the sum of its proper divisors (15885356).

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

10397628 is a wasteful number, since it uses less digits than its factorization.

10397628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288833 (or 288828 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10397628 is about 3224.5353153594. The cubic root of 10397628 is about 218.2619805817.

It can be divided in two parts, 10397 and 628, that added together give a square (11025 = 1052).

The spelling of 10397628 in words is "ten million, three hundred ninety-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 288823 577646 866469 1155292 1732938 2599407 3465876 5198814 10397628