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268633470 = 23574371419
BaseRepresentation
bin10000000000110…
…000010101111110
3200201110222211210
4100000300111332
51022232232340
642353425250
76441226650
oct2000602576
9621428753
10268633470
11128700336
1275b6b226
1343867b21
142796a6d0
15188b5180
hex1003057e

268633470 has 128 divisors (see below), whose sum is σ = 766402560. Its totient is φ = 58988160.

The previous prime is 268633433. The next prime is 268633487. The reversal of 268633470 is 74336862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640921 + ... + 641339.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2268633470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268633470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383201280).

268633470 is an abundant number, since it is smaller than the sum of its proper divisors (497769090).

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

268633470 is a wasteful number, since it uses less digits than its factorization.

268633470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550.

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 268633470 is about 16390.0417937234. The cubic root of 268633470 is about 645.2381549487.

The spelling of 268633470 in words is "two hundred sixty-eight million, six hundred thirty-three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 71 86 105 129 142 210 213 215 258 301 355 419 426 430 497 602 645 710 838 903 994 1065 1257 1290 1491 1505 1806 2095 2130 2485 2514 2933 2982 3010 3053 4190 4515 4970 5866 6106 6285 7455 8799 9030 9159 12570 14665 14910 15265 17598 18017 18318 21371 29330 29749 30530 36034 42742 43995 45795 54051 59498 64113 87990 89247 90085 91590 106855 108102 126119 128226 148745 178494 180170 208243 213710 252238 270255 297490 320565 378357 416486 446235 540510 624729 630595 641130 756714 892470 1041215 1249458 1261190 1279207 1891785 2082430 2558414 3123645 3783570 3837621 6247290 6396035 7675242 8954449 12792070 17908898 19188105 26863347 38376210 44772245 53726694 89544490 134316735 268633470