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669482880 = 27351131699
BaseRepresentation
bin100111111001110…
…111111110000000
31201122202020212020
4213321313332000
52332341423010
6150233201440
722406340063
oct4771677600
91648666766
10669482880
113139a6440
12168260280
13a8915c21
1464cb28da
153db95470
hex27e77f80

669482880 has 128 divisors (see below), whose sum is σ = 2328048000. Its totient is φ = 162293760.

The previous prime is 669482857. The next prime is 669482881. The reversal of 669482880 is 88284966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6694828802 = 896414653226188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669482881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5271 + ... + 36969.

It is an arithmetic number, because the mean of its divisors is an integer number (18187875).

Almost surely, 2669482880 is an apocalyptic number.

669482880 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 669482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164024000).

669482880 is an abundant number, since it is smaller than the sum of its proper divisors (1658565120).

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

669482880 is a wasteful number, since it uses less digits than its factorization.

669482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31732 (or 31720 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 669482880 is about 25874.3672386399. The cubic root of 669482880 is about 874.8088311619.

The spelling of 669482880 in words is "six hundred sixty-nine million, four hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 31699 63398 95097 126796 158495 190194 253592 316990 348689 380388 475485 507184 633980 697378 760776 950970 1014368 1046067 1267960 1394756 1521552 1743445 1901940 2028736 2092134 2535920 2789512 3043104 3486890 3803880 4057472 4184268 5071840 5230335 5579024 6086208 6973780 7607760 8368536 10143680 10460670 11158048 12172416 13947560 15215520 16737072 20287360 20921340 22316096 27895120 30431040 33474144 41842680 44632192 55790240 60862080 66948288 83685360 111580480 133896576 167370720 223160960 334741440 669482880