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8216240 = 245313313
BaseRepresentation
bin11111010101111010110000
3120110102120012
4133111322300
54100404430
6452034052
7126560024
oct37257260
916412505
108216240
114701a8a
122902928
1319189a6
14113c384
15ac4695
hex7d5eb0

8216240 has 40 divisors (see below), whose sum is σ = 19724928. Its totient is φ = 3179520.

The previous prime is 8216231. The next prime is 8216269. The reversal of 8216240 is 426128.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824 + ... + 4136.

Almost surely, 28216240 is an apocalyptic number.

8216240 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 8216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9862464).

8216240 is an abundant number, since it is smaller than the sum of its proper divisors (11508688).

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

8216240 is a wasteful number, since it uses less digits than its factorization.

8216240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8216240 is about 2866.3984370635. The cubic root of 8216240 is about 201.7860034827.

The spelling of 8216240 in words is "eight million, two hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 3313 6626 13252 16565 26504 33130 53008 66260 102703 132520 205406 265040 410812 513515 821624 1027030 1643248 2054060 4108120 8216240