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554398080 = 27351991451
BaseRepresentation
bin100001000010110…
…111000110000000
31102122012100012020
4201002313012000
52113411214310
6131002401440
716511206635
oct4102670600
91378170166
10554398080
11264a41535
12135800280
138ab20302
14538b618c
1533a11170
hex210b7180

554398080 has 128 divisors (see below), whose sum is σ = 1777248000. Its totient is φ = 146995200.

The previous prime is 554398051. The next prime is 554398081. The reversal of 554398080 is 80893455.

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

It is a super-2 number, since 2×5543980802 = 614714462215372800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554398081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381355 + ... + 382805.

It is an arithmetic number, because the mean of its divisors is an integer number (13884750).

Almost surely, 2554398080 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 554398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888624000).

554398080 is an abundant number, since it is smaller than the sum of its proper divisors (1222849920).

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

554398080 is a wasteful number, since it uses less digits than its factorization.

554398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 554398080 is about 23545.6594726077. The cubic root of 554398080 is about 821.4993784529.

The spelling of 554398080 in words is "five hundred fifty-four million, three hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 199 240 320 384 398 480 597 640 796 960 995 1194 1451 1592 1920 1990 2388 2902 2985 3184 3980 4353 4776 5804 5970 6368 7255 7960 8706 9552 11608 11940 12736 14510 15920 17412 19104 21765 23216 23880 25472 29020 31840 34824 38208 43530 46432 47760 58040 63680 69648 76416 87060 92864 95520 116080 127360 139296 174120 185728 191040 232160 278592 288749 348240 382080 464320 557184 577498 696480 866247 928640 1154996 1392960 1443745 1732494 2309992 2785920 2887490 3464988 4331235 4619984 5774980 6929976 8662470 9239968 11549960 13859952 17324940 18479936 23099920 27719904 34649880 36959872 46199840 55439808 69299760 92399680 110879616 138599520 184799360 277199040 554398080