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147104256 = 2931353139
BaseRepresentation
bin10001100010010…
…10001000000000
3101020210200002210
420301022020000
5300124314011
622332542120
73434236245
oct1061121000
9336720083
10147104256
1176044672
1241321940
1324626b50
14157735cc
15cdab6a6
hex8c4a200

147104256 has 160 divisors (see below), whose sum is σ = 433097280. Its totient is φ = 44089344.

The previous prime is 147104233. The next prime is 147104263. The reversal of 147104256 is 652401741.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058235 + ... + 1058373.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 2147104256 is an apocalyptic number.

147104256 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 147104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

147104256 is an abundant number, since it is smaller than the sum of its proper divisors (285993024).

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

147104256 is a wasteful number, since it uses less digits than its factorization.

147104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 147104256 is about 12128.6543359105. The cubic root of 147104256 is about 527.8879468368.

Adding to 147104256 its reverse (652401741), we get a palindrome (799505997).

The spelling of 147104256 in words is "one hundred forty-seven million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 139 156 159 192 208 212 256 278 312 318 384 416 417 424 512 556 624 636 689 768 832 834 848 1112 1248 1272 1378 1536 1664 1668 1696 1807 2067 2224 2496 2544 2756 3328 3336 3392 3614 4134 4448 4992 5088 5421 5512 6656 6672 6784 7228 7367 8268 8896 9984 10176 10842 11024 13344 13568 14456 14734 16536 17792 19968 20352 21684 22048 22101 26688 27136 28912 29468 33072 35584 40704 43368 44096 44202 53376 57824 58936 66144 71168 81408 86736 88192 88404 95771 106752 115648 117872 132288 173472 176384 176808 191542 213504 231296 235744 264576 287313 346944 352768 353616 383084 462592 471488 529152 574626 693888 707232 766168 925184 942976 1058304 1149252 1387776 1414464 1532336 1885952 2298504 2775552 2828928 3064672 3771904 4597008 5657856 6129344 9194016 11315712 12258688 18388032 24517376 36776064 49034752 73552128 147104256