Search a number
-
+
665682096 = 2433137107113
BaseRepresentation
bin100111101011011…
…000000010110000
31201101121011011110
4213223120002300
52330403311341
6150015513320
722332130062
oct4753300260
91641534143
10665682096
1131183a8a2
12166b28840
13a7bb4c41
14645a3732
153d694216
hex27ad80b0

665682096 has 160 divisors (see below), whose sum is σ = 1856452608. Its totient is φ = 205148160.

The previous prime is 665682079. The next prime is 665682113. The reversal of 665682096 is 690286566.

It is an interprime number because it is at equal distance from previous prime (665682079) and next prime (665682113).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5890936 + ... + 5891048.

Almost surely, 2665682096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665682096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928226304).

665682096 is an abundant number, since it is smaller than the sum of its proper divisors (1190770512).

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

665682096 is a wasteful number, since it uses less digits than its factorization.

665682096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 665682096 is about 25800.8158010556. The cubic root of 665682096 is about 873.1502020044.

The spelling of 665682096 in words is "six hundred sixty-five million, six hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 107 111 113 124 148 186 214 222 226 248 296 321 339 372 428 444 452 496 592 642 678 744 856 888 904 1147 1284 1356 1488 1712 1776 1808 2294 2568 2712 3317 3441 3503 3959 4181 4588 5136 5424 6634 6882 7006 7918 8362 9176 9951 10509 11877 12091 12543 13268 13764 14012 15836 16724 18352 19902 21018 23754 24182 25086 26536 27528 28024 31672 33448 36273 39804 42036 47508 48364 50172 53072 55056 56048 63344 66896 72546 79608 84072 95016 96728 100344 122729 129611 145092 159216 168144 190032 193456 200688 245458 259222 290184 368187 374821 388833 447367 490916 518444 580368 736374 749642 777666 894734 981832 1036888 1124463 1342101 1472748 1499284 1555332 1789468 1963664 2073776 2248926 2684202 2945496 2998568 3110664 3578936 4497852 5368404 5890992 5997136 6221328 7157872 8995704 10736808 13868377 17991408 21473616 27736754 41605131 55473508 83210262 110947016 166420524 221894032 332841048 665682096