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5406720 = 2153511
BaseRepresentation
bin10100101000000000000000
3101011200121220
4110220000000
52341003340
6311515040
763646014
oct24500000
911150556
105406720
113063170
121988a80
131173c57
14a0a544
1571bed0
hex528000

5406720 has 128 divisors (see below), whose sum is σ = 18874080. Its totient is φ = 1310720.

The previous prime is 5406719. The next prime is 5406733. The reversal of 5406720 is 276045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×54067203 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491515 + ... + 491525.

Almost surely, 25406720 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 5406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437040).

5406720 is an abundant number, since it is smaller than the sum of its proper divisors (13467360).

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

5406720 is an equidigital number, since it uses as much as digits as its factorization.

5406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5406720 is about 2325.2354719469. The cubic root of 5406720 is about 175.5138096778.

It can be divided in two parts, 540 and 6720, that added together give a triangular number (7260 = T120).

The spelling of 5406720 in words is "five million, four hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1024 1056 1280 1320 1408 1536 1760 1920 2048 2112 2560 2640 2816 3072 3520 3840 4096 4224 5120 5280 5632 6144 7040 7680 8192 8448 10240 10560 11264 12288 14080 15360 16384 16896 20480 21120 22528 24576 28160 30720 32768 33792 40960 42240 45056 49152 56320 61440 67584 81920 84480 90112 98304 112640 122880 135168 163840 168960 180224 225280 245760 270336 337920 360448 450560 491520 540672 675840 901120 1081344 1351680 1802240 2703360 5406720