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161312256 = 293371667
BaseRepresentation
bin10011001110101…
…10111000000000
3102020112111211000
421213112320000
5312243443011
624001252000
73666063060
oct1147267000
9366474730
10161312256
1183069316
1246034000
132755cb51
14175d13a0
15e266356
hex99d6e00

161312256 has 160 divisors (see below), whose sum is σ = 546036480. Its totient is φ = 46061568.

The previous prime is 161312227. The next prime is 161312257. The reversal of 161312256 is 652213161.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161312257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95935 + ... + 97601.

It is an arithmetic number, because the mean of its divisors is an integer number (3412728).

Almost surely, 2161312256 is an apocalyptic number.

161312256 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 161312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273018240).

161312256 is an abundant number, since it is smaller than the sum of its proper divisors (384724224).

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

161312256 is an equidigital number, since it uses as much as digits as its factorization.

161312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1679 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 161312256 is about 12700.8761902477. The cubic root of 161312256 is about 544.3636553486.

The spelling of 161312256 in words is "one hundred sixty-one million, three hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1667 1728 1792 2016 2304 2688 3024 3334 3456 3584 4032 4608 5001 5376 6048 6668 6912 8064 10002 10752 11669 12096 13336 13824 15003 16128 20004 23338 24192 26672 30006 32256 35007 40008 45009 46676 48384 53344 60012 70014 80016 90018 93352 96768 105021 106688 120024 140028 160032 180036 186704 210042 213376 240048 280056 315063 320064 360072 373408 420084 426752 480096 560112 630126 640128 720144 746816 840168 853504 960192 1120224 1260252 1280256 1440288 1493632 1680336 1920384 2240448 2520504 2560512 2880576 2987264 3360672 3840768 4480896 5041008 5761152 5974528 6721344 7681536 8961792 10082016 11522304 13442688 17923584 20164032 23044608 26885376 40328064 53770752 80656128 161312256