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673566480 = 243254392131
BaseRepresentation
bin101000001001011…
…100111100010000
31201221102201111200
4220021130330100
52334413111410
6150500511200
722456135446
oct5011347420
91657381450
10673566480
11316235514
121696ab500
13a9715862
1465656b96
153e2003c0
hex2825cf10

673566480 has 120 divisors (see below), whose sum is σ = 2268277440. Its totient is φ = 179124480.

The previous prime is 673566451. The next prime is 673566493. The reversal of 673566480 is 84665376.

673566480 is a `hidden beast` number, since 6 + 7 + 3 + 566 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315015 + ... + 317145.

It is an arithmetic number, because the mean of its divisors is an integer number (18902312).

Almost surely, 2673566480 is an apocalyptic number.

673566480 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 673566480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134138720).

673566480 is an abundant number, since it is smaller than the sum of its proper divisors (1594710960).

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

673566480 is a wasteful number, since it uses less digits than its factorization.

673566480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 673566480 is about 25953.1593452512. The cubic root of 673566480 is about 876.5838979496.

The spelling of 673566480 in words is "six hundred seventy-three million, five hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 439 720 878 1317 1756 2131 2195 2634 3512 3951 4262 4390 5268 6393 6585 7024 7902 8524 8780 10536 10655 12786 13170 15804 17048 17560 19179 19755 21072 21310 25572 26340 31608 31965 34096 35120 38358 39510 42620 51144 52680 63216 63930 76716 79020 85240 95895 102288 105360 127860 153432 158040 170480 191790 255720 306864 316080 383580 511440 767160 935509 1534320 1871018 2806527 3742036 4677545 5613054 7484072 8419581 9355090 11226108 14032635 14968144 16839162 18710180 22452216 28065270 33678324 37420360 42097905 44904432 56130540 67356648 74840720 84195810 112261080 134713296 168391620 224522160 336783240 673566480