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27870990 = 23571737211
BaseRepresentation
bin110101001010…
…0011100001110
31221102222210220
41222110130032
524113332430
62433212210
7455620350
oct152243416
957388726
1027870990
1114806984
129401066
135a0ac14
1439b70d0
1526a8110
hex1a9470e

27870990 has 128 divisors (see below), whose sum is σ = 83524608. Its totient is φ = 5806080.

The previous prime is 27870989. The next prime is 27870991. The reversal of 27870990 is 9907872.

It is an interprime number because it is at equal distance from previous prime (27870989) and next prime (27870991).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27870991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131985 + ... + 132195.

It is an arithmetic number, because the mean of its divisors is an integer number (652536).

Almost surely, 227870990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27870990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41762304).

27870990 is an abundant number, since it is smaller than the sum of its proper divisors (55653618).

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

27870990 is a wasteful number, since it uses less digits than its factorization.

27870990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 27870990 is about 5279.2982488206. The cubic root of 27870990 is about 303.1918096265.

The spelling of 27870990 in words is "twenty-seven million, eight hundred seventy thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 37 42 51 70 74 85 102 105 111 119 170 185 210 211 222 238 255 259 357 370 422 510 518 555 595 629 633 714 777 1055 1110 1190 1258 1266 1295 1477 1554 1785 1887 2110 2590 2954 3145 3165 3570 3587 3774 3885 4403 4431 6290 6330 7174 7385 7770 7807 8806 8862 9435 10761 13209 14770 15614 17935 18870 21522 22015 22155 23421 25109 26418 35870 39035 44030 44310 46842 50218 53805 54649 66045 75327 78070 107610 109298 117105 125545 132090 132719 150654 163947 234210 251090 265438 273245 327894 376635 398157 546490 663595 753270 796314 819735 929033 1327190 1639470 1858066 1990785 2787099 3981570 4645165 5574198 9290330 13935495 27870990