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673488720 = 243254672003
BaseRepresentation
bin101000001001001…
…001111101010000
31201221021202211200
4220021021331100
52334403114340
6150455111200
722455362652
oct5011117520
91657252750
10673488720
11316192053
12169672500
13a96b9348
14656366d2
153e1d7330
hex28249f50

673488720 has 120 divisors (see below), whose sum is σ = 2267774496. Its totient is φ = 179122944.

The previous prime is 673488653. The next prime is 673488727. The reversal of 673488720 is 27884376.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673488727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335239 + ... + 337241.

Almost surely, 2673488720 is an apocalyptic number.

673488720 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 673488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133887248).

673488720 is an abundant number, since it is smaller than the sum of its proper divisors (1594285776).

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

673488720 is a wasteful number, since it uses less digits than its factorization.

673488720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 673488720 is about 25951.6612185039. The cubic root of 673488720 is about 876.5501641910.

The spelling of 673488720 in words is "six hundred seventy-three million, four hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 467 720 934 1401 1868 2003 2335 2802 3736 4006 4203 4670 5604 6009 7005 7472 8012 8406 9340 10015 11208 12018 14010 16024 16812 18027 18680 20030 21015 22416 24036 28020 30045 32048 33624 36054 37360 40060 42030 48072 56040 60090 67248 72108 80120 84060 90135 96144 112080 120180 144216 160240 168120 180270 240360 288432 336240 360540 480720 721080 935401 1442160 1870802 2806203 3741604 4677005 5612406 7483208 8418609 9354010 11224812 14031015 14966416 16837218 18708020 22449624 28062030 33674436 37416040 42093045 44899248 56124060 67348872 74832080 84186090 112248120 134697744 168372180 224496240 336744360 673488720