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676972240 = 2457324671
BaseRepresentation
bin101000010110011…
…100011011010000
31202011211202022221
4220112130123100
52341301102430
6151101510424
722530112000
oct5026343320
91664752287
10676972240
1131815129a
1216a872414
13aa338ab9
1465ca2000
153e67457a
hex2859c6d0

676972240 has 80 divisors (see below), whose sum is σ = 1835596800. Its totient is φ = 232095360.

The previous prime is 676972217. The next prime is 676972253. The reversal of 676972240 is 42279676.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15105 + ... + 39775.

It is an arithmetic number, because the mean of its divisors is an integer number (22944960).

Almost surely, 2676972240 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 676972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917798400).

676972240 is an abundant number, since it is smaller than the sum of its proper divisors (1158624560).

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

676972240 is a wasteful number, since it uses less digits than its factorization.

676972240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24705 (or 24685 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 676972240 is about 26018.6902053120. The cubic root of 676972240 is about 878.0588410536.

The spelling of 676972240 in words is "six hundred seventy-six million, nine hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 24671 27440 49342 98684 123355 172697 197368 246710 345394 394736 493420 690788 863485 986840 1208879 1381576 1726970 1973680 2417758 2763152 3453940 4835516 6044395 6907880 8462153 9671032 12088790 13815760 16924306 19342064 24177580 33848612 42310765 48355160 67697224 84621530 96710320 135394448 169243060 338486120 676972240