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664161000 = 23353269823
BaseRepresentation
bin100111100101100…
…100101011101000
31201021201212121120
4213211210223220
52330011123000
6145523135240
722313163306
oct4745445350
91637655546
10664161000
113109a0a98
12166514520
13a77a1799
14642c9276
153d4936a0
hex27964ae8

664161000 has 128 divisors (see below), whose sum is σ = 2082412800. Its totient is φ = 176236800.

The previous prime is 664160977. The next prime is 664161031. The reversal of 664161000 is 161466.

664161000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6641610002 = 882219667842000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806589 + ... + 807411.

It is an arithmetic number, because the mean of its divisors is an integer number (16268850).

Almost surely, 2664161000 is an apocalyptic number.

664161000 is a gapful number since it is divisible by the number (60) 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 664161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041206400).

664161000 is an abundant number, since it is smaller than the sum of its proper divisors (1418251800).

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

664161000 is a wasteful number, since it uses less digits than its factorization.

664161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 664161000 is about 25771.3212699698. The cubic root of 664161000 is about 872.4846399761.

The spelling of 664161000 in words is "six hundred sixty-four million, one hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 269 300 375 500 538 600 750 807 823 1000 1076 1345 1500 1614 1646 2152 2469 2690 3000 3228 3292 4035 4115 4938 5380 6456 6584 6725 8070 8230 9876 10760 12345 13450 16140 16460 19752 20175 20575 24690 26900 32280 32920 33625 40350 41150 49380 53800 61725 67250 80700 82300 98760 100875 102875 123450 134500 161400 164600 201750 205750 221387 246900 269000 308625 403500 411500 442774 493800 617250 664161 807000 823000 885548 1106935 1234500 1328322 1771096 2213870 2469000 2656644 3320805 4427740 5313288 5534675 6641610 8855480 11069350 13283220 16604025 22138700 26566440 27673375 33208050 44277400 55346750 66416100 83020125 110693500 132832200 166040250 221387000 332080500 664161000