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673580640 = 25351817753
BaseRepresentation
bin101000001001100…
…000011001100000
31201221110102221010
4220021200121200
52334414040030
6150501100520
722456224645
oct5011403140
91657412833
10673580640
11316245117
121696b7740
13a971c135
146565bdcc
153e2046b0
hex28260660

673580640 has 96 divisors (see below), whose sum is σ = 2133776736. Its totient is φ = 178606080.

The previous prime is 673580603. The next prime is 673580653. The reversal of 673580640 is 46085376.

It is a tau number, because it is divible by the number of its divisors (96).

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, 83004 + ... + 90756.

It is an arithmetic number, because the mean of its divisors is an integer number (22226841).

Almost surely, 2673580640 is an apocalyptic number.

673580640 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 673580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066888368).

673580640 is an abundant number, since it is smaller than the sum of its proper divisors (1460196096).

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

673580640 is a wasteful number, since it uses less digits than its factorization.

673580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 673580640 is about 25953.4321429748. The cubic root of 673580640 is about 876.5900405460.

The spelling of 673580640 in words is "six hundred seventy-three million, five hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 480 543 724 905 1086 1448 1810 2172 2715 2896 3620 4344 5430 5792 7240 7753 8688 10860 14480 15506 17376 21720 23259 28960 31012 38765 43440 46518 62024 77530 86880 93036 116295 124048 155060 186072 232590 248096 310120 372144 465180 620240 744288 930360 1240480 1403293 1860720 2806586 3721440 4209879 5613172 7016465 8419758 11226344 14032930 16839516 21049395 22452688 28065860 33679032 42098790 44905376 56131720 67358064 84197580 112263440 134716128 168395160 224526880 336790320 673580640