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45220760 = 235131923199
BaseRepresentation
bin1010110010000…
…0001110011000
310011002110012222
42230200032120
543034031020
64253123212
71056240644
oct254401630
9104073188
1045220760
1123587032
1213189508
1394a3c60
146011c24
153e83b25
hex2b20398

45220760 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 15054336.

The previous prime is 45220757. The next prime is 45220781. The reversal of 45220760 is 6702254.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227141 + ... + 227339.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 245220760 is an apocalyptic number.

45220760 is a gapful number since it is divisible by the number (40) 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 45220760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

45220760 is an abundant number, since it is smaller than the sum of its proper divisors (75739240).

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

45220760 is a wasteful number, since it uses less digits than its factorization.

45220760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 45220760 is about 6724.6382802349. The cubic root of 45220760 is about 356.2700261647.

It can be divided in two parts, 452 and 20760, that added together give a palindrome (21212).

The spelling of 45220760 in words is "forty-five million, two hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 19 20 23 26 38 40 46 52 65 76 92 95 104 115 130 152 184 190 199 230 247 260 299 380 398 437 460 494 520 598 760 796 874 920 988 995 1196 1235 1495 1592 1748 1976 1990 2185 2392 2470 2587 2990 3496 3781 3980 4370 4577 4940 5174 5681 5980 7562 7960 8740 9154 9880 10348 11362 11960 12935 15124 17480 18308 18905 20696 22724 22885 25870 28405 30248 36616 37810 45448 45770 49153 51740 56810 59501 75620 86963 91540 98306 103480 113620 119002 151240 173926 183080 196612 227240 238004 245765 297505 347852 393224 434815 476008 491530 595010 695704 869630 983060 1130519 1190020 1739260 1966120 2261038 2380040 3478520 4522076 5652595 9044152 11305190 22610380 45220760