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60420880 = 24513241109
BaseRepresentation
bin1110011001111…
…1001100010000
311012200200212101
43212133030100
5110431432010
65555010144
71332366112
oct346371420
9135620771
1060420880
1131119113
1218299954
13c696700
14804b3b2
15548773a
hex399f310

60420880 has 120 divisors (see below), whose sum is σ = 157255560. Its totient is φ = 21565440.

The previous prime is 60420851. The next prime is 60420881. The reversal of 60420880 is 8802406.

60420880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 44675856 + 15745024 = 6684^2 + 3968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60420881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554266 + ... + 554374.

It is an arithmetic number, because the mean of its divisors is an integer number (1310463).

Almost surely, 260420880 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 60420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78627780).

60420880 is an abundant number, since it is smaller than the sum of its proper divisors (96834680).

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

60420880 is a wasteful number, since it uses less digits than its factorization.

60420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 60420880 is about 7773.0869028977. The cubic root of 60420880 is about 392.4000151017.

The spelling of 60420880 in words is "sixty million, four hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 109 130 164 169 205 208 218 260 328 338 410 436 520 533 545 656 676 820 845 872 1040 1066 1090 1352 1417 1640 1690 1744 2132 2180 2665 2704 2834 3280 3380 4264 4360 4469 5330 5668 6760 6929 7085 8528 8720 8938 10660 11336 13520 13858 14170 17876 18421 21320 22345 22672 27716 28340 34645 35752 36842 42640 44690 55432 56680 58097 69290 71504 73684 89380 92105 110864 113360 116194 138580 147368 178760 184210 232388 277160 290485 294736 357520 368420 464776 554320 580970 736840 755261 929552 1161940 1473680 1510522 2323880 3021044 3776305 4647760 6042088 7552610 12084176 15105220 30210440 60420880