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545370480 = 243252332933
BaseRepresentation
bin100000100000011…
…011000101110000
31102000012200122200
4200200123011300
52104103323410
6130041103200
716341400254
oct4040330560
91360180580
10545370480
1125a935a06
12132787b00
1388cac235
1452606264
1532d2b3c0
hex2081b170

545370480 has 120 divisors (see below), whose sum is σ = 1911225888. Its totient is φ = 139104768.

The previous prime is 545370461. The next prime is 545370481. The reversal of 545370480 is 84073545.

545370480 is a `hidden beast` number, since 545 + 3 + 70 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545370481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94 + ... + 33026.

Almost surely, 2545370480 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 545370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955612944).

545370480 is an abundant number, since it is smaller than the sum of its proper divisors (1365855408).

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

545370480 is a wasteful number, since it uses less digits than its factorization.

545370480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32975 (or 32966 counting only the distinct ones).

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

The square root of 545370480 is about 23353.1685216375. The cubic root of 545370480 is about 817.0159634967.

The spelling of 545370480 in words is "five hundred forty-five million, three hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 32933 65866 98799 131732 164665 197598 263464 296397 329330 395196 493995 526928 592794 658660 757459 790392 987990 1185588 1317320 1481985 1514918 1580784 1975980 2272377 2371176 2634640 2963970 3029836 3787295 3951960 4544754 4742352 5927940 6059672 6817131 7574590 7903920 9089508 11361885 11855880 12119344 13634262 15149180 18179016 22723770 23711760 27268524 30298360 34085655 36358032 45447540 54537048 60596720 68171310 90895080 109074096 136342620 181790160 272685240 545370480