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8975680 = 26574007
BaseRepresentation
bin100010001111…
…010101000000
3121220000022121
4202033111000
54244210210
6520214024
7136202110
oct42172500
917800277
108975680
11508061a
12300a314
131b2356c
141299040
15bc46da
hex88f540

8975680 has 56 divisors (see below), whose sum is σ = 24432768. Its totient is φ = 3076608.

The previous prime is 8975669. The next prime is 8975689. The reversal of 8975680 is 865798.

It is a happy number.

8975680 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8975689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 4243.

Almost surely, 28975680 is an apocalyptic number.

8975680 is a gapful number since it is divisible by the number (80) 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 8975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216384).

8975680 is an abundant number, since it is smaller than the sum of its proper divisors (15457088).

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

8975680 is a wasteful number, since it uses less digits than its factorization.

8975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 8975680 is about 2995.9439247089. The cubic root of 8975680 is about 207.8208516628.

The spelling of 8975680 in words is "eight million, nine hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 4007 8014 16028 20035 28049 32056 40070 56098 64112 80140 112196 128224 140245 160280 224392 256448 280490 320560 448784 560980 641120 897568 1121960 1282240 1795136 2243920 4487840 8975680