Search a number
-
+
258268160 = 210573691
BaseRepresentation
bin11110110010011…
…01110000000000
3122222222101022102
433121031300000
51012104040120
641343325532
76254146253
oct1731156000
9588871272
10258268160
11122870767
12725b08a8
1341678bc7
142642d09a
1517a18d75
hexf64dc00

258268160 has 88 divisors (see below), whose sum is σ = 628936656. Its totient is φ = 101744640.

The previous prime is 258268141. The next prime is 258268163. The reversal of 258268160 is 61862852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258268163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373415 + ... + 374105.

Almost surely, 2258268160 is an apocalyptic number.

258268160 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 258268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314468328).

258268160 is an abundant number, since it is smaller than the sum of its proper divisors (370668496).

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

258268160 is an equidigital number, since it uses as much as digits as its factorization.

258268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 258268160 is about 16070.7236924788. The cubic root of 258268160 is about 636.8301594261.

The spelling of 258268160 in words is "two hundred fifty-eight million, two hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 512 584 640 691 730 1024 1168 1280 1382 1460 2336 2560 2764 2920 3455 4672 5120 5528 5840 6910 9344 11056 11680 13820 18688 22112 23360 27640 37376 44224 46720 50443 55280 74752 88448 93440 100886 110560 176896 186880 201772 221120 252215 353792 373760 403544 442240 504430 707584 807088 884480 1008860 1614176 1768960 2017720 3228352 3537920 4035440 6456704 8070880 12913408 16141760 25826816 32283520 51653632 64567040 129134080 258268160