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665387136 = 2734292213
BaseRepresentation
bin100111101010010…
…000000010000000
31201101001011120000
4213222100002000
52330314342021
6150005320000
722326461121
oct4752200200
91641034500
10665387136
11311659227
12166a06000
13a7b108cb
1464528048
153d636b26
hex27a90080

665387136 has 160 divisors (see below), whose sum is σ = 2049389100. Its totient is φ = 214050816.

The previous prime is 665387119. The next prime is 665387141. The reversal of 665387136 is 631783566.

It can be written as a sum of positive squares in 2 ways, for example, as 581774400 + 83612736 = 24120^2 + 9144^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (544320) is a multiple of the sum of its prime factors (2268).

It is a junction number, because it is equal to n+sod(n) for n = 665387091 and 665387100.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 299566 + ... + 301778.

Almost surely, 2665387136 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 665387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024694550).

665387136 is an abundant number, since it is smaller than the sum of its proper divisors (1384001964).

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

665387136 is a wasteful number, since it uses less digits than its factorization.

665387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2247 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 665387136 is about 25795.0990693969. The cubic root of 665387136 is about 873.0212203011.

The spelling of 665387136 in words is "six hundred sixty-five million, three hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1728 1856 2088 2213 2349 2592 2784 3132 3456 3712 4176 4426 4698 5184 5568 6264 6639 8352 8852 9396 10368 11136 12528 13278 16704 17704 18792 19917 25056 26556 33408 35408 37584 39834 50112 53112 59751 64177 70816 75168 79668 100224 106224 119502 128354 141632 150336 159336 179253 192531 212448 239004 256708 283264 300672 318672 358506 385062 424896 478008 513416 577593 637344 717012 770124 849792 956016 1026832 1155186 1274688 1434024 1540248 1732779 1912032 2053664 2310372 2549376 2868048 3080496 3465558 3824064 4107328 4620744 5198337 5736096 6160992 6931116 7648128 8214656 9241488 10396674 11472192 12321984 13862232 18482976 20793348 22944384 24643968 27724464 36965952 41586696 55448928 73931904 83173392 110897856 166346784 221795712 332693568 665387136