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460128890 = 2513191071741
BaseRepresentation
bin11011011011010…
…000001001111010
31012001210222011202
4123123100021322
51420243111030
6113354054202
714255013434
oct3333201172
91161728152
10460128890
11216804711
1210a11a362
1374435120
1445177654
152a5de745
hex1b6d027a

460128890 has 64 divisors (see below), whose sum is σ = 948205440. Its totient is φ = 159356160.

The previous prime is 460128887. The next prime is 460128899. The reversal of 460128890 is 98821064.

460128890 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (460128899) 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, 263420 + ... + 265160.

It is an arithmetic number, because the mean of its divisors is an integer number (14815710).

Almost surely, 2460128890 is an apocalyptic number.

460128890 is an abundant number, since it is smaller than the sum of its proper divisors (488076550).

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

460128890 is a wasteful number, since it uses less digits than its factorization.

460128890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 460128890 is about 21450.6151426946. The cubic root of 460128890 is about 772.0163546787.

The spelling of 460128890 in words is "four hundred sixty million, one hundred twenty-eight thousand, eight hundred ninety".

Divisors: 1 2 5 10 13 19 26 38 65 95 107 130 190 214 247 494 535 1070 1235 1391 1741 2033 2470 2782 3482 4066 6955 8705 10165 13910 17410 20330 22633 26429 33079 45266 52858 66158 113165 132145 165395 186287 226330 264290 330790 372574 430027 860054 931435 1862870 2150135 2421731 3539453 4300270 4843462 7078906 12108655 17697265 24217310 35394530 46012889 92025778 230064445 460128890