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10983006 = 2332337239
BaseRepresentation
bin101001111001…
…011001011110
3202122222212000
4221321121132
510302424011
61031223130
7162232266
oct51713136
922588760
1010983006
116221771
123817aa6
132377128
14165c7a6
15e6e356
hexa7965e

10983006 has 64 divisors (see below), whose sum is σ = 26265600. Its totient is φ = 3392928.

The previous prime is 10982999. The next prime is 10983013. The reversal of 10983006 is 60038901.

It is an interprime number because it is at equal distance from previous prime (10982999) and next prime (10983013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45835 + ... + 46073.

It is an arithmetic number, because the mean of its divisors is an integer number (410400).

Almost surely, 210983006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10983006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132800).

10983006 is an abundant number, since it is smaller than the sum of its proper divisors (15282594).

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

10983006 is a wasteful number, since it uses less digits than its factorization.

10983006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10983006 is about 3314.0618582036. The cubic root of 10983006 is about 222.2834217924.

The spelling of 10983006 in words is "ten million, nine hundred eighty-three thousand, six".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 111 138 207 222 239 333 414 478 621 666 717 851 999 1242 1434 1702 1998 2151 2553 4302 5106 5497 6453 7659 8843 10994 12906 15318 16491 17686 22977 26529 32982 45954 49473 53058 79587 98946 148419 159174 203389 238761 296838 406778 477522 610167 1220334 1830501 3661002 5491503 10983006