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468123260 = 2251137131439
BaseRepresentation
bin11011111001101…
…111111001111100
31012121212010101112
4123321233321330
51424314421020
6114241301152
714412660563
oct3371577174
91177763345
10468123260
11220274a30
121109347b8
1375ca3b17
1446258bda
152b16d2c5
hex1be6fe7c

468123260 has 96 divisors (see below), whose sum is σ = 1112348160. Its totient is φ = 163987200.

The previous prime is 468123221. The next prime is 468123319. The reversal of 468123260 is 62321864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066121 + ... + 1066559.

It is an arithmetic number, because the mean of its divisors is an integer number (11586960).

Almost surely, 2468123260 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 468123260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

468123260 is an abundant number, since it is smaller than the sum of its proper divisors (644224900).

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

468123260 is a wasteful number, since it uses less digits than its factorization.

468123260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 468123260 is about 21636.1563129868. The cubic root of 468123260 is about 776.4617628478.

The spelling of 468123260 in words is "four hundred sixty-eight million, one hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 131 148 185 220 262 370 407 439 524 655 740 814 878 1310 1441 1628 1756 2035 2195 2620 2882 4070 4390 4829 4847 5764 7205 8140 8780 9658 9694 14410 16243 19316 19388 24145 24235 28820 32486 48290 48470 53317 57509 64972 81215 96580 96940 106634 115018 162430 178673 213268 230036 266585 287545 324860 357346 533170 575090 632599 714692 893365 1066340 1150180 1265198 1786730 2127833 2530396 3162995 3573460 4255666 6325990 8511332 10639165 12651980 21278330 23406163 42556660 46812326 93624652 117030815 234061630 468123260