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8970640 = 245783193
BaseRepresentation
bin100010001110…
…000110010000
3121212202101221
4202032012100
54244030030
6520134424
7136151320
oct42160620
917782357
108970640
115077858
123007414
131b21193
141297280
15bc2e7a
hex88e190

8970640 has 80 divisors (see below), whose sum is σ = 24248448. Its totient is φ = 3022848.

The previous prime is 8970629. The next prime is 8970649. The reversal of 8970640 is 460798.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8970596 and 8970605.

It is not an unprimeable number, because it can be changed into a prime (8970649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46384 + ... + 46576.

Almost surely, 28970640 is an apocalyptic number.

8970640 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 8970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12124224).

8970640 is an abundant number, since it is smaller than the sum of its proper divisors (15277808).

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

8970640 is a wasteful number, since it uses less digits than its factorization.

8970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 8970640 is about 2995.1026693588. The cubic root of 8970640 is about 207.7819460422.

The spelling of 8970640 in words is "eight million, nine hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 193 280 332 386 415 560 581 664 772 830 965 1162 1328 1351 1544 1660 1930 2324 2702 2905 3088 3320 3860 4648 5404 5810 6640 6755 7720 9296 10808 11620 13510 15440 16019 21616 23240 27020 32038 46480 54040 64076 80095 108080 112133 128152 160190 224266 256304 320380 448532 560665 640760 897064 1121330 1281520 1794128 2242660 4485320 8970640