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5460480 = 2933579
BaseRepresentation
bin10100110101001000000000
3101021102101000
4110311020000
52344213410
6313012000
764261524
oct24651000
911242330
105460480
11309a5a3
1219b4000
13119256c
14a21d84
1572cdc0
hex535200

5460480 has 160 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 1437696.

The previous prime is 5460461. The next prime is 5460491. The reversal of 5460480 is 840645.

5460480 is a `hidden beast` number, since 54 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69081 + ... + 69159.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 25460480 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 5460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

5460480 is an abundant number, since it is smaller than the sum of its proper divisors (14181120).

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

5460480 is an equidigital number, since it uses as much as digits as its factorization.

5460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5460480 is about 2336.7669973705. The cubic root of 5460480 is about 176.0936141098.

The spelling of 5460480 in words is "five million, four hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 79 80 90 96 108 120 128 135 144 158 160 180 192 216 237 240 256 270 288 316 320 360 384 395 432 474 480 512 540 576 632 640 711 720 768 790 864 948 960 1080 1152 1185 1264 1280 1422 1440 1536 1580 1728 1896 1920 2133 2160 2304 2370 2528 2560 2844 2880 3160 3456 3555 3792 3840 4266 4320 4608 4740 5056 5688 5760 6320 6912 7110 7584 7680 8532 8640 9480 10112 10665 11376 11520 12640 13824 14220 15168 17064 17280 18960 20224 21330 22752 23040 25280 28440 30336 34128 34560 37920 40448 42660 45504 50560 56880 60672 68256 69120 75840 85320 91008 101120 113760 121344 136512 151680 170640 182016 202240 227520 273024 303360 341280 364032 455040 546048 606720 682560 910080 1092096 1365120 1820160 2730240 5460480