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266131328 = 27171941157
BaseRepresentation
bin11111101110011…
…01011110000000
3200112202212112212
433313031132000
51021112200303
642224041252
76411036041
oct1767153600
9615685485
10266131328
11127251451
1275163228
134319cc78
14274b88c8
151856dad8
hexfdcd780

266131328 has 128 divisors (see below), whose sum is σ = 609184800. Its totient is φ = 115015680.

The previous prime is 266131319. The next prime is 266131337. The reversal of 266131328 is 823131662.

It is an interprime number because it is at equal distance from previous prime (266131319) and next prime (266131337).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 266131294 and 266131303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695026 + ... + 1695182.

Almost surely, 2266131328 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 266131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304592400).

266131328 is an abundant number, since it is smaller than the sum of its proper divisors (343053472).

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

266131328 is a wasteful number, since it uses less digits than its factorization.

266131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 266131328 is about 16313.5320516435. The cubic root of 266131328 is about 643.2285813558.

The spelling of 266131328 in words is "two hundred sixty-six million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 41 64 68 76 82 128 136 152 157 164 272 304 314 323 328 544 608 628 646 656 697 779 1088 1216 1256 1292 1312 1394 1558 2176 2432 2512 2584 2624 2669 2788 2983 3116 5024 5168 5248 5338 5576 5966 6232 6437 10048 10336 10676 11152 11932 12464 12874 13243 20096 20672 21352 22304 23864 24928 25748 26486 41344 42704 44608 47728 49856 50711 51496 52972 85408 89216 95456 99712 101422 102992 105944 109429 122303 170816 190912 202844 205984 211888 218858 244606 341632 381824 405688 411968 423776 437716 489212 811376 823936 847552 875432 978424 1622752 1695104 1750864 1956848 2079151 3245504 3501728 3913696 4158302 6491008 7003456 7827392 8316604 14006912 15654784 16633208 33266416 66532832 133065664 266131328