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54768060 = 223252313229
BaseRepresentation
bin1101000011101…
…1000110111100
310211001111122200
43100323012330
5103010034220
65233511500
71233343434
oct320730674
9124044580
1054768060
1128a08066
1216412590
13b467749
1473b92c4
154c1c890
hex343b1bc

54768060 has 72 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 13968768.

The previous prime is 54768047. The next prime is 54768061. The reversal of 54768060 is 6086745.

It is a happy number.

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 (54768061) 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, 2475 + ... + 10754.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 254768060 is an apocalyptic number.

It is an amenable number.

54768060 is an abundant number, since it is smaller than the sum of its proper divisors (118597860).

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

54768060 is a wasteful number, since it uses less digits than its factorization.

54768060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13267 (or 13262 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 54768060 is about 7400.5445745567. The cubic root of 54768060 is about 379.7599129783.

The spelling of 54768060 in words is "fifty-four million, seven hundred sixty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 13229 26458 39687 52916 66145 79374 119061 132290 158748 198435 238122 264580 304267 396870 476244 595305 608534 793740 912801 1190610 1217068 1521335 1825602 2381220 2738403 3042670 3651204 4564005 5476806 6085340 9128010 10953612 13692015 18256020 27384030 54768060