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258860020 = 225174797167
BaseRepresentation
bin11110110110111…
…10001111110100
3200001002110012011
433123132033310
51012232010040
641404134004
76262162636
oct1733361764
9601073164
10258860020
11123135401
1272837304
1341825413
1426544a56
1517ad43ea
hexf6de3f4

258860020 has 96 divisors (see below), whose sum is σ = 597445632. Its totient is φ = 93831168.

The previous prime is 258859999. The next prime is 258860023. The reversal of 258860020 is 20068852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258860023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549977 + ... + 1550143.

It is an arithmetic number, because the mean of its divisors is an integer number (6223392).

Almost surely, 2258860020 is an apocalyptic number.

258860020 is a gapful number since it is divisible by the number (20) 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 258860020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298722816).

258860020 is an abundant number, since it is smaller than the sum of its proper divisors (338585612).

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

258860020 is a wasteful number, since it uses less digits than its factorization.

258860020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 258860020 is about 16089.1273846657. The cubic root of 258860020 is about 637.3162520539.

The spelling of 258860020 in words is "two hundred fifty-eight million, eight hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 97 167 170 188 194 235 334 340 388 470 485 668 799 835 940 970 1598 1649 1670 1940 2839 3196 3298 3340 3995 4559 5678 6596 7849 7990 8245 9118 11356 14195 15698 15980 16199 16490 18236 22795 28390 31396 32398 32980 39245 45590 56780 64796 77503 78490 80995 91180 133433 155006 156980 161990 266866 275383 310012 323980 387515 533732 550766 667165 761353 775030 1101532 1334330 1376915 1522706 1550060 2668660 2753830 3045412 3806765 5507660 7613530 12943001 15227060 25886002 51772004 64715005 129430010 258860020