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9036972 = 22327247109
BaseRepresentation
bin100010011110…
…010010101100
3122000010101200
4202132102230
54303140342
6521405500
7136545600
oct42362254
918003350
109036972
11511267a
123039890
131b45429
1412b3500
15bd794c
hex89e4ac

9036972 has 108 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 2503872.

The previous prime is 9036959. The next prime is 9036997. The reversal of 9036972 is 2796309.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82854 + ... + 82962.

Almost surely, 29036972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9036972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).

9036972 is an abundant number, since it is smaller than the sum of its proper divisors (18350388).

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

9036972 is a wasteful number, since it uses less digits than its factorization.

9036972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9036972 is about 3006.1556845912. The cubic root of 9036972 is about 208.2928259733.

It can be divided in two parts, 903 and 6972, that added together give a triangular number (7875 = T125).

The spelling of 9036972 in words is "nine million, thirty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 49 63 84 94 98 109 126 141 147 188 196 218 252 282 294 327 329 423 436 441 564 588 654 658 763 846 882 981 987 1308 1316 1526 1692 1764 1962 1974 2289 2303 2961 3052 3924 3948 4578 4606 5123 5341 5922 6867 6909 9156 9212 10246 10682 11844 13734 13818 15369 16023 20492 20727 21364 27468 27636 30738 32046 35861 41454 46107 48069 61476 64092 71722 82908 92214 96138 107583 143444 184428 192276 215166 251027 322749 430332 502054 645498 753081 1004108 1290996 1506162 2259243 3012324 4518486 9036972