Search a number
-
+
163270656 = 2123243103
BaseRepresentation
bin10011011101101…
…01000000000000
3102101020000020100
421232311000000
5313244130111
624111242400
74021530513
oct1156650000
9371200210
10163270656
118418672a
1246819400
1327a97373
1417980d7a
15e501756
hex9bb5000

163270656 has 156 divisors (see below), whose sum is σ = 487266208. Its totient is φ = 52641792.

The previous prime is 163270637. The next prime is 163270673. The reversal of 163270656 is 656072361.

It is a super-2 number, since 2×1632706562 = 53314614221340672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 163270656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1585101 + ... + 1585203.

Almost surely, 2163270656 is an apocalyptic number.

163270656 is a gapful number since it is divisible by the number (16) 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 163270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243633104).

163270656 is an abundant number, since it is smaller than the sum of its proper divisors (323995552).

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

163270656 is a wasteful number, since it uses less digits than its factorization.

163270656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 163270656 is about 12777.7406453567. The cubic root of 163270656 is about 546.5577362440.

The spelling of 163270656 in words is "one hundred sixty-three million, two hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 103 128 129 144 172 192 206 256 258 288 309 344 384 387 412 512 516 576 618 688 768 774 824 927 1024 1032 1152 1236 1376 1536 1548 1648 1854 2048 2064 2304 2472 2752 3072 3096 3296 3708 4096 4128 4429 4608 4944 5504 6144 6192 6592 7416 8256 8858 9216 9888 11008 12288 12384 13184 13287 14832 16512 17716 18432 19776 22016 24768 26368 26574 29664 33024 35432 36864 39552 39861 44032 49536 52736 53148 59328 66048 70864 79104 79722 88064 99072 105472 106296 118656 132096 141728 158208 159444 176128 198144 210944 212592 237312 264192 283456 316416 318888 396288 421888 425184 474624 528384 566912 632832 637776 792576 850368 949248 1133824 1265664 1275552 1585152 1700736 1898496 2267648 2551104 3401472 3796992 4535296 5102208 6802944 9070592 10204416 13605888 18141184 20408832 27211776 40817664 54423552 81635328 163270656