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2381992960 = 21051393347
BaseRepresentation
bin1000110111111010…
…0101010000000000
320011000010210001111
42031332211100000
514334242233320
61032210213104
7113012414614
oct21576452000
96130123044
102381992960
111012633626
12565884194
132bc6526b9
141884d3344
15de1baa5a
hex8dfa5400

2381992960 has 88 divisors (see below), whose sum is σ = 5756819040. Its totient is φ = 945659904.

The previous prime is 2381992957. The next prime is 2381992979. The reversal of 2381992960 is 692991832.

It is a super-2 number, since 2×23819929602 = 11347780922979123200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 710007 + ... + 713353.

Almost surely, 22381992960 is an apocalyptic number.

2381992960 is a gapful number since it is divisible by the number (20) 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 2381992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878409520).

2381992960 is an abundant number, since it is smaller than the sum of its proper divisors (3374826080).

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

2381992960 is a wasteful number, since it uses less digits than its factorization.

2381992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 2381992960 is about 48805.6652449283. The cubic root of 2381992960 is about 1335.5090167591.

The spelling of 2381992960 in words is "two billion, three hundred eighty-one million, nine hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 256 278 320 512 556 640 695 1024 1112 1280 1390 2224 2560 2780 3347 4448 5120 5560 6694 8896 11120 13388 16735 17792 22240 26776 33470 35584 44480 53552 66940 71168 88960 107104 133880 142336 177920 214208 267760 355840 428416 465233 535520 711680 856832 930466 1071040 1713664 1860932 2142080 2326165 3427328 3721864 4284160 4652330 7443728 8568320 9304660 14887456 17136640 18609320 29774912 37218640 59549824 74437280 119099648 148874560 238199296 297749120 476398592 595498240 1190996480 2381992960