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20907315 = 3451113192
BaseRepresentation
bin100111111000…
…0010100110011
31110100012110000
41033300110303
520323013230
62024041043
7342465162
oct117602463
943305400
1020907315
111088aa80
127003183
1344403c0
142ac33d9
151c7eb60
hex13f0533

20907315 has 120 divisors (see below), whose sum is σ = 46469808. Its totient is φ = 8864640.

The previous prime is 20907311. The next prime is 20907317. The reversal of 20907315 is 51370902.

It is not a de Polignac number, because 20907315 - 22 = 20907311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20907311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1100376 + ... + 1100394.

Almost surely, 220907315 is an apocalyptic number.

20907315 is an abundant number, since it is smaller than the sum of its proper divisors (25562493).

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

20907315 is a wasteful number, since it uses less digits than its factorization.

20907315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 20907315 is about 4572.4517493354. The cubic root of 20907315 is about 275.4859287304.

The spelling of 20907315 in words is "twenty million, nine hundred seven thousand, three hundred fifteen".

Divisors: 1 3 5 9 11 13 15 19 27 33 39 45 55 57 65 81 95 99 117 135 143 165 171 195 209 247 285 297 351 361 405 429 495 513 585 627 715 741 855 891 1045 1053 1083 1235 1287 1485 1539 1755 1805 1881 2145 2223 2565 2717 3135 3249 3705 3861 3971 4455 4693 5265 5415 5643 6435 6669 7695 8151 9405 9747 11115 11583 11913 13585 14079 16245 16929 19305 19855 20007 23465 24453 28215 29241 33345 35739 40755 42237 48735 51623 57915 59565 70395 73359 84645 100035 107217 122265 126711 146205 154869 178695 211185 220077 258115 321651 366795 380133 464607 536085 633555 774345 1100385 1393821 1608255 1900665 2323035 4181463 6969105 20907315