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8996064 = 2537111217
BaseRepresentation
bin100010010100…
…010011100000
3121221001021120
4202110103200
54300333224
6520452240
7136315410
oct42242340
917831246
108996064
115094970
12301a080
131b2c91c
1412a2640
15bca779
hex8944e0

8996064 has 96 divisors (see below), whose sum is σ = 29465856. Its totient is φ = 2334720.

The previous prime is 8996047. The next prime is 8996083. The reversal of 8996064 is 4606998.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6784 + ... + 8000.

It is an arithmetic number, because the mean of its divisors is an integer number (306936).

Almost surely, 28996064 is an apocalyptic number.

8996064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8996064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732928).

8996064 is an abundant number, since it is smaller than the sum of its proper divisors (20469792).

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

8996064 is a wasteful number, since it uses less digits than its factorization.

8996064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 8996064 is about 2999.3439282616. The cubic root of 8996064 is about 207.9780548840.

The spelling of 8996064 in words is "eight million, nine hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1217 1232 1848 2434 2464 3651 3696 4868 7302 7392 8519 9736 13387 14604 17038 19472 25557 26774 29208 34076 38944 40161 51114 53548 58416 68152 80322 93709 102228 107096 116832 136304 160644 187418 204456 214192 272608 281127 321288 374836 408912 428384 562254 642576 749672 817824 1124508 1285152 1499344 2249016 2998688 4498032 8996064