Search a number
-
+
1661025520 = 24573115503
BaseRepresentation
bin110001100000001…
…0011110011110000
311021202111211122201
41203000103303300
511400210304040
6432453312544
756106325000
oct14300236360
94252454581
101661025520
11782673070
123a4335754
1320618174b
1411a85c000
159ac55a9a
hex63013cf0

1661025520 has 160 divisors (see below), whose sum is σ = 4913971200. Its totient is φ = 517628160.

The previous prime is 1661025493. The next prime is 1661025529. The reversal of 1661025520 is 255201661.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661025529) 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 31 ways as a sum of consecutive naturals, for example, 299089 + ... + 304591.

It is an arithmetic number, because the mean of its divisors is an integer number (30712320).

Almost surely, 21661025520 is an apocalyptic number.

1661025520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456985600).

1661025520 is an abundant number, since it is smaller than the sum of its proper divisors (3252945680).

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

1661025520 is a wasteful number, since it uses less digits than its factorization.

1661025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1661025520 is about 40755.6808310204. The cubic root of 1661025520 is about 1184.2919256737.

The spelling of 1661025520 in words is "one billion, six hundred sixty-one million, twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 343 385 392 440 490 539 560 616 686 770 784 880 980 1078 1232 1372 1540 1715 1960 2156 2695 2744 3080 3430 3773 3920 4312 5390 5488 5503 6160 6860 7546 8624 10780 11006 13720 15092 18865 21560 22012 27440 27515 30184 37730 38521 43120 44024 55030 60368 60533 75460 77042 88048 110060 121066 150920 154084 192605 220120 242132 269647 301840 302665 308168 385210 423731 440240 484264 539294 605330 616336 770420 847462 968528 1078588 1210660 1348235 1540840 1694924 1887529 2118655 2157176 2421320 2696470 2966117 3081680 3389848 3775058 4237310 4314352 4842640 5392940 5932234 6779696 7550116 8474620 9437645 10785880 11864468 14830585 15100232 16949240 18875290 20762819 21571760 23728936 29661170 30200464 33898480 37750580 41525638 47457872 59322340 75501160 83051276 103814095 118644680 151002320 166102552 207628190 237289360 332205104 415256380 830512760 1661025520