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1730701056 = 28372313997
BaseRepresentation
bin110011100101000…
…0110011100000000
311110121121201112010
41213022012130000
512021024413211
6443422532520
760613500450
oct14712063400
94417551463
101730701056
11808a32357
12403737140
13217738686
14125bd7d60
15a1e1a4a6
hex67286700

1730701056 has 144 divisors (see below), whose sum is σ = 5493487104. Its totient is φ = 472952832.

The previous prime is 1730701039. The next prime is 1730701057. The reversal of 1730701056 is 6501070371.

It is a super-2 number, since 2×17307010562 = 5990652290479030272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1730701057) 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, 116650 + ... + 130646.

It is an arithmetic number, because the mean of its divisors is an integer number (38149216).

Almost surely, 21730701056 is an apocalyptic number.

1730701056 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 1730701056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746743552).

1730701056 is an abundant number, since it is smaller than the sum of its proper divisors (3762786048).

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

1730701056 is a wasteful number, since it uses less digits than its factorization.

1730701056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14046 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 1730701056 is about 41601.6953500696. The cubic root of 1730701056 is about 1200.6249189515.

The spelling of 1730701056 in words is "one billion, seven hundred thirty million, seven hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 13997 15456 17664 20608 27994 30912 41216 41991 55988 61824 83982 97979 111976 123648 167964 195958 223952 293937 321931 335928 391916 447904 587874 643862 671856 783832 895808 965793 1175748 1287724 1343712 1567664 1791616 1931586 2253517 2351496 2575448 2687424 3135328 3583232 3863172 4507034 4702992 5150896 5374848 6270656 6760551 7726344 9014068 9405984 10301792 10749696 12541312 13521102 15452688 18028136 18811968 20603584 25082624 27042204 30905376 36056272 37623936 41207168 54084408 61810752 72112544 75247872 82414336 108168816 123621504 144225088 216337632 247243008 288450176 432675264 576900352 865350528 1730701056