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680577240 = 233575315287
BaseRepresentation
bin101000100100001…
…100100011011000
31202102121220110110
4220210030203120
52343211432430
6151311044320
722602545130
oct5044144330
91672556413
10680577240
1131a193832
1216bb106a0
13aaccb935
146655dac0
153eb377b0
hex2890c8d8

680577240 has 128 divisors (see below), whose sum is σ = 2377589760. Its totient is φ = 152615424.

The previous prime is 680577239. The next prime is 680577253. The reversal of 680577240 is 42775086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36877 + ... + 52163.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2680577240 is an apocalyptic number.

680577240 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 680577240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188794880).

680577240 is an abundant number, since it is smaller than the sum of its proper divisors (1697012520).

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

680577240 is a wasteful number, since it uses less digits than its factorization.

680577240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15361 (or 15357 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 680577240 is about 26087.8753446884. The cubic root of 680577240 is about 879.6146901313.

The spelling of 680577240 in words is "six hundred eighty million, five hundred seventy-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 15287 22260 30574 44520 45861 61148 76435 91722 107009 122296 152870 183444 214018 229305 305740 321027 366888 428036 458610 535045 611480 642054 810211 856072 917220 1070090 1284108 1605135 1620422 1834440 2140180 2430633 2568216 3210270 3240844 4051055 4280360 4861266 5671477 6420540 6481688 8102110 9722532 11342954 12153165 12841080 16204220 17014431 19445064 22685908 24306330 28357385 32408440 34028862 45371816 48612660 56714770 68057724 85072155 97225320 113429540 136115448 170144310 226859080 340288620 680577240