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10973628 = 2232319833
BaseRepresentation
bin101001110111…
…000110111100
3202122111222200
4221313012330
510302124003
61031111500
7162163041
oct51670674
922574880
1010973628
116215716
123812590
132372a93
1416591c8
15e6b6a3
hexa771bc

10973628 has 36 divisors (see below), whose sum is σ = 28636608. Its totient is φ = 3539520.

The previous prime is 10973617. The next prime is 10973639. The reversal of 10973628 is 82637901.

It is an interprime number because it is at equal distance from previous prime (10973617) and next prime (10973639).

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

It is a super-2 number, since 2×109736282 = 240841022964768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10973592 and 10973601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3801 + ... + 6032.

Almost surely, 210973628 is an apocalyptic number.

10973628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10973628 is an abundant number, since it is smaller than the sum of its proper divisors (17662980).

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

10973628 is a wasteful number, since it uses less digits than its factorization.

10973628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9874 (or 9869 counting only the distinct ones).

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

The square root of 10973628 is about 3312.6466759979. The cubic root of 10973628 is about 222.2201371286.

It can be divided in two parts, 109 and 73628, that added together give a palindrome (73737).

The spelling of 10973628 in words is "ten million, nine hundred seventy-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 9833 19666 29499 39332 58998 88497 117996 176994 304823 353988 609646 914469 1219292 1828938 2743407 3657876 5486814 10973628