Search a number
-
+
61453080 = 23345131459
BaseRepresentation
bin1110101001101…
…1001100011000
311021122010210000
43222123030120
5111212444310
610033053000
71344225333
oct352331430
9137563700
1061453080
1131763677
12186b7160
13c968490
14823961a
1555dd4c0
hex3a9b318

61453080 has 160 divisors (see below), whose sum is σ = 222591600. Its totient is φ = 15116544.

The previous prime is 61453037. The next prime is 61453081. The reversal of 61453080 is 8035416.

61453080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61453081) 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 39 ways as a sum of consecutive naturals, for example, 41391 + ... + 42849.

Almost surely, 261453080 is an apocalyptic number.

61453080 is a gapful number since it is divisible by the number (60) 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 61453080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111295800).

61453080 is an abundant number, since it is smaller than the sum of its proper divisors (161138520).

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

61453080 is a wasteful number, since it uses less digits than its factorization.

61453080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61453080 is about 7839.2014899478. The cubic root of 61453080 is about 394.6219316889.

Adding to 61453080 its reverse (8035416), we get a palindrome (69488496).

The spelling of 61453080 in words is "sixty-one million, four hundred fifty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1459 1560 1620 1755 2106 2340 2808 2918 3240 3510 4212 4377 4680 5265 5836 7020 7295 8424 8754 10530 11672 13131 14040 14590 17508 18967 21060 21885 26262 29180 35016 37934 39393 42120 43770 52524 56901 58360 65655 75868 78786 87540 94835 105048 113802 118179 131310 151736 157572 170703 175080 189670 196965 227604 236358 262620 284505 315144 341406 379340 393930 455208 472716 512109 525240 569010 590895 682812 758680 787860 853515 945432 1024218 1138020 1181790 1365624 1536327 1575720 1707030 2048436 2276040 2363580 2560545 3072654 3414060 4096872 4727160 5121090 6145308 6828120 7681635 10242180 12290616 15363270 20484360 30726540 61453080