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674760564 = 2233371311289
BaseRepresentation
bin101000001110000…
…000011101110100
31202000200101111000
4220032000131310
52340214314224
6150542243300
722502240652
oct5016003564
91660611430
10674760564
11316980665
12169b86530
13a9a4320a
1465887dd2
153e3890c9
hex28380774

674760564 has 96 divisors (see below), whose sum is σ = 1811779200. Its totient is φ = 217002240.

The previous prime is 674760557. The next prime is 674760571. The reversal of 674760564 is 465067476.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (674760557) and next prime (674760571).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522832 + ... + 524120.

It is an arithmetic number, because the mean of its divisors is an integer number (18872700).

Almost surely, 2674760564 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 674760564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905889600).

674760564 is an abundant number, since it is smaller than the sum of its proper divisors (1137018636).

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

674760564 is a wasteful number, since it uses less digits than its factorization.

674760564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 674760564 is about 25976.1537568594. The cubic root of 674760564 is about 877.1015884403.

The spelling of 674760564 in words is "six hundred seventy-four million, seven hundred sixty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 131 148 222 262 333 393 444 524 666 786 999 1179 1289 1332 1572 1998 2358 2578 3537 3867 3996 4716 4847 5156 7074 7734 9694 11601 14148 14541 15468 19388 23202 29082 34803 43623 46404 47693 58164 69606 87246 95386 130869 139212 143079 168859 174492 190772 261738 286158 337718 429237 506577 523476 572316 675436 858474 1013154 1287711 1519731 1716948 2026308 2575422 3039462 4559193 5150844 6078924 6247783 9118386 12495566 18236772 18743349 24991132 37486698 56230047 74973396 112460094 168690141 224920188 337380282 674760564