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2170387968 = 2937228837
BaseRepresentation
bin1000000101011101…
…0111111000000000
312121020222010120120
42001113113320000
513421104403333
6555210540240
7104532664500
oct20127277000
95536863516
102170387968
11a14144671
12506a37680
13287864148
1416836da00
15ca81cdb3
hex815d7e00

2170387968 has 120 divisors (see below), whose sum is σ = 6726290472. Its totient is φ = 620089344.

The previous prime is 2170387951. The next prime is 2170387979. The reversal of 2170387968 is 8697830712.

It is a self number, because there is not a number n which added to its sum of digits gives 2170387968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60846 + ... + 89682.

Almost surely, 22170387968 is an apocalyptic number.

2170387968 is a gapful number since it is divisible by the number (28) 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 2170387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363145236).

2170387968 is an abundant number, since it is smaller than the sum of its proper divisors (4555902504).

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

2170387968 is an equidigital number, since it uses as much as digits as its factorization.

2170387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28872 (or 28849 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 2170387968 is about 46587.4228520960. The cubic root of 2170387968 is about 1294.7297415087.

The spelling of 2170387968 in words is "two billion, one hundred seventy million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 9408 10752 12544 18816 25088 28837 37632 57674 75264 86511 115348 173022 201859 230696 346044 403718 461392 605577 692088 807436 922784 1211154 1384176 1413013 1614872 1845568 2422308 2768352 2826026 3229744 3691136 4239039 4844616 5536704 5652052 6459488 7382272 8478078 9689232 11073408 11304104 12918976 14764544 16956156 19378464 22146816 22608208 25837952 33912312 38756928 44293632 45216416 51675904 67824624 77513856 90432832 103351808 135649248 155027712 180865664 271298496 310055424 361731328 542596992 723462656 1085193984 2170387968