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20076360 = 2335293571
BaseRepresentation
bin100110010010…
…1011101001000
31101202222120220
41030211131020
520114420420
61554150040
7332434443
oct114453510
941688526
1020076360
1110372737
126882320
13420c105
14294865a
151b68840
hex1325748

20076360 has 64 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 5326080.

The previous prime is 20076359. The next prime is 20076361. The reversal of 20076360 is 6367002.

It is an interprime number because it is at equal distance from previous prime (20076359) and next prime (20076361).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20076360.

It is not an unprimeable number, because it can be changed into a prime (20076361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34875 + ... + 35445.

It is an arithmetic number, because the mean of its divisors is an integer number (945945).

Almost surely, 220076360 is an apocalyptic number.

20076360 is a gapful number since it is divisible by the number (20) 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 20076360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

20076360 is an abundant number, since it is smaller than the sum of its proper divisors (40464120).

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

20076360 is a wasteful number, since it uses less digits than its factorization.

20076360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 20076360 is about 4480.6651291968. The cubic root of 20076360 is about 271.7867778228.

The spelling of 20076360 in words is "twenty million, seventy-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 571 586 879 1142 1172 1465 1713 1758 2284 2344 2855 2930 3426 3516 4395 4568 5710 5860 6852 7032 8565 8790 11420 11720 13704 17130 17580 22840 34260 35160 68520 167303 334606 501909 669212 836515 1003818 1338424 1673030 2007636 2509545 3346060 4015272 5019090 6692120 10038180 20076360