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1351372680 = 233357178753
BaseRepresentation
bin101000010001100…
…0100111110001000
310111011211211211000
41100203010332020
510231422411210
6342032335000
745326323020
oct12043047610
93434754730
101351372680
116338a6329
123186a4460
13186c84108
14cb694a80
157d98bac0
hex508c4f88

1351372680 has 128 divisors (see below), whose sum is σ = 5148115200. Its totient is φ = 308883456.

The previous prime is 1351372667. The next prime is 1351372699. The reversal of 1351372680 is 862731531.

1351372680 is a `hidden beast` number, since 13 + 513 + 72 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 81817 + ... + 96936.

It is an arithmetic number, because the mean of its divisors is an integer number (40219650).

Almost surely, 21351372680 is an apocalyptic number.

1351372680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351372680 is an abundant number, since it is smaller than the sum of its proper divisors (3796742520).

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

1351372680 is a wasteful number, since it uses less digits than its factorization.

1351372680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178780 (or 178770 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1351372680 is about 36761.0212045313. The cubic root of 1351372680 is about 1105.5839150247.

The spelling of 1351372680 in words is "one billion, three hundred fifty-one million, three hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 178753 357506 536259 715012 893765 1072518 1251271 1430024 1608777 1787530 2145036 2502542 2681295 3217554 3575060 3753813 4290072 4826331 5005084 5362590 6256355 6435108 7150120 7507626 8043885 9652662 10010168 10725180 11261439 12512710 12870216 15015252 16087770 18769065 19305324 21450360 22522878 24131655 25025420 30030504 32175540 33784317 37538130 38610648 45045756 48263310 50050840 56307195 64351080 67568634 75076260 90091512 96526620 112614390 135137268 150152520 168921585 193053240 225228780 270274536 337843170 450457560 675686340 1351372680