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1355608680 = 2335711071487
BaseRepresentation
bin101000011001100…
…1111001001101000
310111110211001111220
41100303033021220
510234013434210
6342303222040
745410324616
oct12063171150
93443731456
101355608680
11636229958
12319ba7920
13187b0821a
14cc0786b6
157e026c70
hex50ccf268

1355608680 has 128 divisors (see below), whose sum is σ = 4165447680. Its totient is φ = 352835840.

The previous prime is 1355608663. The next prime is 1355608687. The reversal of 1355608680 is 868065531.

It is not an unprimeable number, because it can be changed into a prime (1355608687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910897 + ... + 912383.

It is an arithmetic number, because the mean of its divisors is an integer number (32542560).

Almost surely, 21355608680 is an apocalyptic number.

1355608680 is a gapful number since it is divisible by the number (10) 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 1355608680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082723840).

1355608680 is an abundant number, since it is smaller than the sum of its proper divisors (2809839000).

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

1355608680 is a wasteful number, since it uses less digits than its factorization.

1355608680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1355608680 is about 36818.5914994042. The cubic root of 1355608680 is about 1106.7378944010.

The spelling of 1355608680 in words is "one billion, three hundred fifty-five million, six hundred eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 107 120 142 213 214 284 321 355 426 428 535 568 642 710 852 856 1065 1070 1284 1420 1487 1605 1704 2130 2140 2568 2840 2974 3210 4260 4280 4461 5948 6420 7435 7597 8520 8922 11896 12840 14870 15194 17844 22305 22791 29740 30388 35688 37985 44610 45582 59480 60776 75970 89220 91164 105577 113955 151940 159109 178440 182328 211154 227910 303880 316731 318218 422308 455820 477327 527885 633462 636436 795545 844616 911640 954654 1055770 1266924 1272872 1583655 1591090 1909308 2111540 2386635 2533848 3167310 3182180 3818616 4223080 4773270 6334620 6364360 9546540 11296739 12669240 19093080 22593478 33890217 45186956 56483695 67780434 90373912 112967390 135560868 169451085 225934780 271121736 338902170 451869560 677804340 1355608680