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554123040 = 253510710789
BaseRepresentation
bin100001000001110…
…011111100100000
31102121200100220120
4201001303330200
52113323414130
6130552440240
716505653032
oct4101637440
91377610816
10554123040
11264873929
121356a9080
138aa55073
1453843c52
15339a9910
hex21073f20

554123040 has 96 divisors (see below), whose sum is σ = 1761963840. Its totient is φ = 146371584.

The previous prime is 554122999. The next prime is 554123051. The reversal of 554123040 is 40321455.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×5541230403 (a number of 27 digits) contains 333 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 554123040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45966 + ... + 56754.

It is an arithmetic number, because the mean of its divisors is an integer number (18353790).

Almost surely, 2554123040 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 554123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880981920).

554123040 is an abundant number, since it is smaller than the sum of its proper divisors (1207840800).

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

554123040 is a wasteful number, since it uses less digits than its factorization.

554123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 554123040 is about 23539.8181811160. The cubic root of 554123040 is about 821.3635058302.

Adding to 554123040 its reverse (40321455), we get a palindrome (594444495).

The spelling of 554123040 in words is "five hundred fifty-four million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 10789 12840 17120 21578 25680 32367 43156 51360 53945 64734 86312 107890 129468 161835 172624 215780 258936 323670 345248 431560 517872 647340 863120 1035744 1154423 1294680 1726240 2308846 2589360 3463269 4617692 5178720 5772115 6926538 9235384 11544230 13853076 17316345 18470768 23088460 27706152 34632690 36941536 46176920 55412304 69265380 92353840 110824608 138530760 184707680 277061520 554123040