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668548480 = 2753121087
BaseRepresentation
bin100111110110010…
…011110110000000
31201120222210002211
4213312103312000
52332122022410
6150201151504
722365365635
oct4766236600
91646883084
10668548480
11313418406
12167a8b594
13a8679822
1464b0c18c
153da5d68a
hex27d93d80

668548480 has 96 divisors (see below), whose sum is σ = 1652987520. Its totient is φ = 258554880.

The previous prime is 668548469. The next prime is 668548549. The reversal of 668548480 is 84845866.

668548480 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 2×6685484802 = 893914140220620800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614497 + ... + 615583.

It is an arithmetic number, because the mean of its divisors is an integer number (17218620).

Almost surely, 2668548480 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 668548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826493760).

668548480 is an abundant number, since it is smaller than the sum of its proper divisors (984439040).

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

668548480 is a wasteful number, since it uses less digits than its factorization.

668548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The square root of 668548480 is about 25856.3044536531. The cubic root of 668548480 is about 874.4016502445.

The spelling of 668548480 in words is "six hundred sixty-eight million, five hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 961 992 1087 1240 1922 1984 2174 2480 3844 3968 4348 4805 4960 5435 7688 8696 9610 9920 10870 15376 17392 19220 19840 21740 30752 33697 34784 38440 43480 61504 67394 69568 76880 86960 123008 134788 139136 153760 168485 173920 269576 307520 336970 347840 539152 615040 673940 695680 1044607 1078304 1347880 2089214 2156608 2695760 4178428 4313216 5223035 5391520 8356856 10446070 10783040 16713712 20892140 21566080 33427424 41784280 66854848 83568560 133709696 167137120 334274240 668548480