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2090684176 = 2472232712
BaseRepresentation
bin111110010011101…
…0100111100010000
312101200222202112021
41330213110330100
513240203343201
6543242341224
7102544344100
oct17447247420
95350882467
102090684176
11983155a69
124a41ba814
132741a8839
1415b943200
15c3826ea1
hex7c9d4f10

2090684176 has 135 divisors (see below), whose sum is σ = 4996173063. Its totient is φ = 844979520.

The previous prime is 2090684161. The next prime is 2090684227. The reversal of 2090684176 is 6714860902.

The square root of 2090684176 is 45724.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29446221 + ... + 29446291.

Almost surely, 22090684176 is an apocalyptic number.

2090684176 is the 45724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090684176

2090684176 is an abundant number, since it is smaller than the sum of its proper divisors (2905488887).

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

2090684176 is an equidigital number, since it uses as much as digits as its factorization.

2090684176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The cubic root of 2090684176 is about 1278.6827627457.

The spelling of 2090684176 in words is "two billion, ninety million, six hundred eighty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 71 92 98 112 142 161 184 196 284 322 368 392 497 529 568 644 784 994 1058 1127 1136 1288 1633 1988 2116 2254 2576 3266 3479 3703 3976 4232 4508 5041 6532 6958 7406 7952 8464 9016 10082 11431 13064 13916 14812 18032 20164 22862 25921 26128 27832 29624 35287 37559 40328 45724 51842 55664 59248 70574 75118 80017 80656 91448 103684 115943 141148 150236 160034 182896 207368 231886 247009 262913 282296 300472 320068 414736 463772 494018 525826 564592 600944 640136 811601 927544 988036 1051652 1280272 1623202 1840391 1855088 1976072 2103304 2666689 3246404 3680782 3952144 4206608 5333378 5681207 6492808 7361564 10666756 11362414 12985616 14723128 18666823 21333512 22724828 29446256 37333646 42667024 45449656 74667292 90899312 130667761 149334584 261335522 298669168 522671044 1045342088 2090684176