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71368704 = 21632112
BaseRepresentation
bin1000100000100…
…00000000000000
311222021220110100
410100100000000
5121232244304
611025402400
71524424011
oct420200000
9158256410
1071368704
1137316400
121ba99400
1311a2a804
14969b008
1563eb439
hex4410000

71368704 has 153 divisors (see below), whose sum is σ = 226621759. Its totient is φ = 21626880.

The previous prime is 71368657. The next prime is 71368711. The reversal of 71368704 is 40786317.

The square root of 71368704 is 8448.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6488059 + ... + 6488069.

Almost surely, 271368704 is an apocalyptic number.

71368704 is the 8448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71368704

71368704 is an abundant number, since it is smaller than the sum of its proper divisors (155253055).

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

71368704 is an equidigital number, since it uses as much as digits as its factorization.

71368704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The cubic root of 71368704 is about 414.7973152608.

Multiplying 71368704 by its sum of digits (36), we get a square (2569273344 = 506882).

71368704 divided by its sum of digits (36) gives a square (1982464 = 14082).

Multiplying 71368704 by its product of nonzero digits (28224), we get a square (2014310301696 = 14192642).

The spelling of 71368704 in words is "seventy-one million, three hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 256 264 288 352 363 384 396 484 512 528 576 704 726 768 792 968 1024 1056 1089 1152 1408 1452 1536 1584 1936 2048 2112 2178 2304 2816 2904 3072 3168 3872 4096 4224 4356 4608 5632 5808 6144 6336 7744 8192 8448 8712 9216 11264 11616 12288 12672 15488 16384 16896 17424 18432 22528 23232 24576 25344 30976 32768 33792 34848 36864 45056 46464 49152 50688 61952 65536 67584 69696 73728 90112 92928 98304 101376 123904 135168 139392 147456 180224 185856 196608 202752 247808 270336 278784 294912 360448 371712 405504 495616 540672 557568 589824 720896 743424 811008 991232 1081344 1115136 1486848 1622016 1982464 2162688 2230272 2973696 3244032 3964928 4460544 5947392 6488064 7929856 8921088 11894784 17842176 23789568 35684352 71368704