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745840680 = 2335131134231
BaseRepresentation
bin101100011101001…
…010000000101000
31220222102122001220
4230131022000220
53011413400210
6202001542040
724324353424
oct5435120050
91828378056
10745840680
1135300a162
12189944920
13bb69c560
14710abb84
1545729c70
hex2c74a028

745840680 has 128 divisors (see below), whose sum is σ = 2431537920. Its totient is φ = 181923840.

The previous prime is 745840651. The next prime is 745840691. The reversal of 745840680 is 86048547.

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, 174165 + ... + 178395.

It is an arithmetic number, because the mean of its divisors is an integer number (18996390).

Almost surely, 2745840680 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 745840680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215768960).

745840680 is an abundant number, since it is smaller than the sum of its proper divisors (1685697240).

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

745840680 is a wasteful number, since it uses less digits than its factorization.

745840680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 745840680 is about 27310.0838519401. The cubic root of 745840680 is about 906.8776295667.

The spelling of 745840680 in words is "seven hundred forty-five million, eight hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 113 120 130 156 195 226 260 312 339 390 452 520 565 678 780 904 1130 1356 1469 1560 1695 2260 2712 2938 3390 4231 4407 4520 5876 6780 7345 8462 8814 11752 12693 13560 14690 16924 17628 21155 22035 25386 29380 33848 35256 42310 44070 50772 55003 58760 63465 84620 88140 101544 110006 126930 165009 169240 176280 220012 253860 275015 330018 440024 478103 507720 550030 660036 825045 956206 1100060 1320072 1434309 1650090 1912412 2200120 2390515 2868618 3300180 3824824 4781030 5737236 6215339 6600360 7171545 9562060 11474472 12430678 14343090 18646017 19124120 24861356 28686180 31076695 37292034 49722712 57372360 62153390 74584068 93230085 124306780 149168136 186460170 248613560 372920340 745840680