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5653480 = 235761331
BaseRepresentation
bin10101100100001111101000
3101122020010011
4111210033220
52421402410
6321101304
766024310
oct25441750
911566104
105653480
1132115a8
121a87834
13122c371
14a72440
1576a18a
hex5643e8

5653480 has 64 divisors (see below), whose sum is σ = 14820480. Its totient is φ = 1900800.

The previous prime is 5653441. The next prime is 5653493. The reversal of 5653480 is 843565.

5653480 = T245 + T246 + ... + T364.

It is a super-2 number, since 2×56534802 = 63923672220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16915 + ... + 17245.

It is an arithmetic number, because the mean of its divisors is an integer number (231570).

Almost surely, 25653480 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 5653480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410240).

5653480 is an abundant number, since it is smaller than the sum of its proper divisors (9167000).

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

5653480 is a wasteful number, since it uses less digits than its factorization.

5653480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5653480 is about 2377.7047756187. The cubic root of 5653480 is about 178.1443091820.

The spelling of 5653480 in words is "five million, six hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 331 427 488 610 662 854 1220 1324 1655 1708 2135 2317 2440 2648 3310 3416 4270 4634 6620 8540 9268 11585 13240 17080 18536 20191 23170 40382 46340 80764 92680 100955 141337 161528 201910 282674 403820 565348 706685 807640 1130696 1413370 2826740 5653480