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669016000 = 2653241347
BaseRepresentation
bin100111111000000…
…101111111000000
31201121212112102101
4213320011333000
52332232003000
6150215200144
722402353652
oct4770057700
91647775371
10669016000
11313707694
12168076054
13a87b1573
1464bd06d2
153db01e6a
hex27e05fc0

669016000 has 112 divisors (see below), whose sum is σ = 1668487392. Its totient is φ = 265728000.

The previous prime is 669015967. The next prime is 669016027. The reversal of 669016000 is 610966.

It is a happy number.

669016000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 669016000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927827 + ... + 1928173.

Almost surely, 2669016000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834243696).

669016000 is an abundant number, since it is smaller than the sum of its proper divisors (999471392).

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

669016000 is a wasteful number, since it uses less digits than its factorization.

669016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 669016000 is about 25865.3436087750. The cubic root of 669016000 is about 874.6054275404.

Adding to 669016000 its reverse (610966), we get a palindrome (669626966).

The spelling of 669016000 in words is "six hundred sixty-nine million, sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 241 250 320 347 400 482 500 694 800 964 1000 1205 1388 1600 1735 1928 2000 2410 2776 3470 3856 4000 4820 5552 6025 6940 7712 8000 8675 9640 11104 12050 13880 15424 17350 19280 22208 24100 27760 30125 34700 38560 43375 48200 55520 60250 69400 77120 83627 86750 96400 111040 120500 138800 167254 173500 192800 241000 277600 334508 347000 385600 418135 482000 555200 669016 694000 836270 964000 1338032 1388000 1672540 1928000 2090675 2676064 2776000 3345080 4181350 5352128 6690160 8362700 10453375 13380320 16725400 20906750 26760640 33450800 41813500 66901600 83627000 133803200 167254000 334508000 669016000