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1318245390 = 2325711217293
BaseRepresentation
bin100111010010010…
…1101010000001110
310101212111210201100
41032210231100032
510144432323030
6334450323530
744444621010
oct11644552016
93355453640
101318245390
1161712a300
123095895a6
13180155877
14c71101b0
157aae6360
hex4e92d40e

1318245390 has 144 divisors (see below), whose sum is σ = 4305790944. Its totient is φ = 273905280.

The previous prime is 1318245359. The next prime is 1318245421. The reversal of 1318245390 is 935428131.

1318245390 is a `hidden beast` number, since 13 + 18 + 245 + 390 = 666.

It is an interprime number because it is at equal distance from previous prime (1318245359) and next prime (1318245421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67584 + ... + 84876.

It is an arithmetic number, because the mean of its divisors is an integer number (29901326).

Almost surely, 21318245390 is an apocalyptic number.

1318245390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318245390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152895472).

1318245390 is an abundant number, since it is smaller than the sum of its proper divisors (2987545554).

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

1318245390 is a wasteful number, since it uses less digits than its factorization.

1318245390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17335 (or 17321 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1318245390 is about 36307.6491940748. The cubic root of 1318245390 is about 1096.4750496948.

The spelling of 1318245390 in words is "one billion, three hundred eighteen million, two hundred forty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 605 630 693 726 770 847 990 1089 1155 1210 1386 1694 1815 2178 2310 2541 3465 3630 4235 5082 5445 6930 7623 8470 10890 12705 15246 17293 25410 34586 38115 51879 76230 86465 103758 121051 155637 172930 190223 242102 259395 311274 363153 380446 518790 570669 605255 726306 778185 951115 1089459 1141338 1210510 1331561 1556370 1712007 1815765 1902230 2092453 2178918 2663122 2853345 3424014 3631530 3994683 4184906 5447295 5706690 6277359 6657805 7989366 8560035 10462265 10894590 11984049 12554718 13315610 14647171 17120070 18832077 19973415 20924530 23968098 29294342 31386795 37664154 39946830 43941513 59920245 62773590 73235855 87883026 94160385 119840490 131824539 146471710 188320770 219707565 263649078 439415130 659122695 1318245390