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80215920 = 2434512379
BaseRepresentation
bin1001100011111…
…11111101110000
312120221101120000
410301333331300
5131013402140
611543150000
71662552441
oct461777560
9176841500
1080215920
1141309454
1222a45300
1313807755
14a9212c8
157097a30
hex4c7ff70

80215920 has 100 divisors (see below), whose sum is σ = 278624280. Its totient is φ = 21389184.

The previous prime is 80215901. The next prime is 80215937. The reversal of 80215920 is 2951208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 291 + ... + 12669.

Almost surely, 280215920 is an apocalyptic number.

80215920 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 80215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139312140).

80215920 is an abundant number, since it is smaller than the sum of its proper divisors (198408360).

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

80215920 is a wasteful number, since it uses less digits than its factorization.

80215920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404 (or 12389 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 80215920 is about 8956.3340714826. The cubic root of 80215920 is about 431.2742443837.

It can be divided in two parts, 80 and 215920, that added together give a cube (216000 = 603).

The spelling of 80215920 in words is "eighty million, two hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 12379 24758 37137 49516 61895 74274 99032 111411 123790 148548 185685 198064 222822 247580 297096 334233 371370 445644 495160 557055 594192 668466 742740 891288 990320 1002699 1114110 1336932 1485480 1671165 1782576 2005398 2228220 2673864 2970960 3342330 4010796 4456440 5013495 5347728 6684660 8021592 8912880 10026990 13369320 16043184 20053980 26738640 40107960 80215920