Search a number
-
+
60905460 = 223571113183
BaseRepresentation
bin1110100001010…
…1011111110100
311020121022120210
43220111133310
5111042433320
610013225420
71336454640
oct350253764
9136538523
1060905460
113141a1a0
1218492270
13c806145
148135c20
1555310e0
hex3a157f4

60905460 has 96 divisors (see below), whose sum is σ = 212631552. Its totient is φ = 12654720.

The previous prime is 60905447. The next prime is 60905461. The reversal of 60905460 is 6450906.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60905461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1972 + ... + 11211.

It is an arithmetic number, because the mean of its divisors is an integer number (2214912).

Almost surely, 260905460 is an apocalyptic number.

60905460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60905460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106315776).

60905460 is an abundant number, since it is smaller than the sum of its proper divisors (151726092).

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

60905460 is a wasteful number, since it uses less digits than its factorization.

60905460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 60905460 is about 7804.1950257538. The cubic root of 60905460 is about 393.4462489824.

The spelling of 60905460 in words is "sixty million, nine hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 13183 26366 39549 52732 65915 79098 92281 131830 145013 158196 184562 197745 263660 276843 290026 369124 395490 435039 461405 553686 580052 725065 790980 870078 922810 1015091 1107372 1384215 1450130 1740156 1845620 2030182 2175195 2768430 2900260 3045273 4060364 4350390 5075455 5536860 6090546 8700780 10150910 12181092 15226365 20301820 30452730 60905460