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861614080 = 212542071
BaseRepresentation
bin110011010110110…
…011000000000000
32020001021112022121
4303112303000000
53231033122310
6221255214024
730231412255
oct6326630000
92201245277
10861614080
114023a4458
12200677314
13109676722
148260742c
15509980da
hex335b3000

861614080 has 52 divisors (see below), whose sum is σ = 2067670512. Its totient is φ = 344637440.

The previous prime is 861614059. The next prime is 861614107. The reversal of 861614080 is 80416168.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 556 + ... + 41515.

Almost surely, 2861614080 is an apocalyptic number.

861614080 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 861614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033835256).

861614080 is an abundant number, since it is smaller than the sum of its proper divisors (1206056432).

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

861614080 is an equidigital number, since it uses as much as digits as its factorization.

861614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42100 (or 42078 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 861614080 is about 29353.2635323570. The cubic root of 861614080 is about 951.5631072074.

The spelling of 861614080 in words is "eight hundred sixty-one million, six hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 20480 42071 84142 168284 210355 336568 420710 673136 841420 1346272 1682840 2692544 3365680 5385088 6731360 10770176 13462720 21540352 26925440 43080704 53850880 86161408 107701760 172322816 215403520 430807040 861614080