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554387040 = 253251133407
BaseRepresentation
bin100001000010110…
…100011001100000
31102122011210001100
4201002310121200
52113410341130
6131002234400
716511132514
oct4102643140
91378153040
10554387040
11264a34209
121357b5a00
138ab1828c
14538b2144
1533a0cc60
hex210b4660

554387040 has 144 divisors (see below), whose sum is σ = 1909147968. Its totient is φ = 146485248.

The previous prime is 554387033. The next prime is 554387063. The reversal of 554387040 is 40783455.

554387040 is a `hidden beast` number, since 5 + 543 + 8 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 554386986 and 554387004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161017 + ... + 164423.

It is an arithmetic number, because the mean of its divisors is an integer number (13257972).

Almost surely, 2554387040 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 554387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954573984).

554387040 is an abundant number, since it is smaller than the sum of its proper divisors (1354760928).

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

554387040 is a wasteful number, since it uses less digits than its factorization.

554387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 554387040 is about 23545.4250333265. The cubic root of 554387040 is about 821.4939254438.

The spelling of 554387040 in words is "five hundred fifty-four million, three hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 113 120 144 160 180 226 240 288 339 360 452 480 565 678 720 904 1017 1130 1356 1440 1695 1808 2034 2260 2712 3390 3407 3616 4068 4520 5085 5424 6780 6814 8136 9040 10170 10221 10848 13560 13628 16272 17035 18080 20340 20442 27120 27256 30663 32544 34070 40680 40884 51105 54240 54512 61326 68140 81360 81768 102210 109024 122652 136280 153315 162720 163536 204420 245304 272560 306630 327072 384991 408840 490608 545120 613260 769982 817680 981216 1154973 1226520 1539964 1635360 1924955 2309946 2453040 3079928 3464919 3849910 4619892 4906080 5774865 6159856 6929838 7699820 9239784 11549730 12319712 13859676 15399640 17324595 18479568 23099460 27719352 30799280 34649190 36959136 46198920 55438704 61598560 69298380 92397840 110877408 138596760 184795680 277193520 554387040