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5345460 = 2233519521
BaseRepresentation
bin10100011001000010110100
3101001120121000
4110121002310
52332023320
6310323300
763302301
oct24310264
911046530
105345460
11302113a
121959530
1311520c3
149d20a8
15708c90
hex5190b4

5345460 has 96 divisors (see below), whose sum is σ = 17539200. Its totient is φ = 1347840.

The previous prime is 5345443. The next prime is 5345467. The reversal of 5345460 is 645435.

It is a super-2 number, since 2×53454602 = 57147885223200, which contains 22 as substring.

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 (5345467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10000 + ... + 10520.

It is an arithmetic number, because the mean of its divisors is an integer number (182700).

Almost surely, 25345460 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 5345460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769600).

5345460 is an abundant number, since it is smaller than the sum of its proper divisors (12193740).

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

5345460 is a wasteful number, since it uses less digits than its factorization.

5345460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5345460 is about 2312.0250863691. The cubic root of 5345460 is about 174.8484129491.

The spelling of 5345460 in words is "five million, three hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 521 540 570 684 855 1026 1042 1140 1563 1710 2052 2084 2565 2605 3126 3420 4689 5130 5210 6252 7815 9378 9899 10260 10420 14067 15630 18756 19798 23445 28134 29697 31260 39596 46890 49495 56268 59394 70335 89091 93780 98990 118788 140670 148485 178182 197980 267273 281340 296970 356364 445455 534546 593940 890910 1069092 1336365 1781820 2672730 5345460