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5430480 = 243511317
BaseRepresentation
bin10100101101110011010000
3101012220012220
4110231303100
52342233410
6312221040
764105206
oct24556320
911186186
105430480
11307a000
12199a780
131181a03
14a15076
15724070
hex52dcd0

5430480 has 160 divisors (see below), whose sum is σ = 19605888. Its totient is φ = 1239040.

The previous prime is 5430449. The next prime is 5430493. The reversal of 5430480 is 840345.

5430480 = T79 + T80 + ... + T320.

It is a happy number.

It is a super-2 number, since 2×54304802 = 58980226060800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5430480.

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 31 ways as a sum of consecutive naturals, for example, 319432 + ... + 319448.

Almost surely, 25430480 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 5430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9802944).

5430480 is an abundant number, since it is smaller than the sum of its proper divisors (14175408).

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

5430480 is a wasteful number, since it uses less digits than its factorization.

5430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5430480 is about 2330.3390311283. The cubic root of 5430480 is about 175.7705342900.

The spelling of 5430480 in words is "five million, four hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 121 132 136 165 170 176 187 204 220 240 242 255 264 272 330 340 363 374 408 440 484 510 528 561 605 660 680 726 748 816 880 935 968 1020 1122 1210 1320 1331 1360 1452 1496 1815 1870 1936 2040 2057 2244 2420 2640 2662 2805 2904 2992 3630 3740 3993 4080 4114 4488 4840 5324 5610 5808 6171 6655 7260 7480 7986 8228 8976 9680 10285 10648 11220 12342 13310 14520 14960 15972 16456 19965 20570 21296 22440 22627 24684 26620 29040 30855 31944 32912 39930 41140 44880 45254 49368 53240 61710 63888 67881 79860 82280 90508 98736 106480 113135 123420 135762 159720 164560 181016 226270 246840 271524 319440 339405 362032 452540 493680 543048 678810 905080 1086096 1357620 1810160 2715240 5430480