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2090277672 = 23373318191
BaseRepresentation
bin111110010010111…
…0001101100101000
312101200020002220120
41330211301230220
513240102341142
6543225523240
7102541032000
oct17445615450
95350202816
102090277672
119829a860a
124a4043520
132740957c2
1415b879000
15c37967ec
hex7c971b28

2090277672 has 128 divisors (see below), whose sum is σ = 6291456000. Its totient is φ = 577886400.

The previous prime is 2090277643. The next prime is 2090277731. The reversal of 2090277672 is 2767720902.

2090277672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251097 + ... + 259287.

It is an arithmetic number, because the mean of its divisors is an integer number (49152000).

Almost surely, 22090277672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090277672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145728000).

2090277672 is an abundant number, since it is smaller than the sum of its proper divisors (4201178328).

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

2090277672 is a wasteful number, since it uses less digits than its factorization.

2090277672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 2090277672 is about 45719.5545910062. The cubic root of 2090277672 is about 1278.5998834414.

The spelling of 2090277672 in words is "two billion, ninety million, two hundred seventy-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 343 372 392 434 588 651 686 744 868 1029 1176 1302 1372 1519 1736 2058 2604 2744 3038 4116 4557 5208 6076 8191 8232 9114 10633 12152 16382 18228 21266 24573 31899 32764 36456 42532 49146 57337 63798 65528 85064 98292 114674 127596 172011 196584 229348 253921 255192 344022 401359 458696 507842 688044 761763 802718 1015684 1204077 1376088 1523526 1605436 1777447 2031368 2408154 2809513 3047052 3210872 3554894 4816308 5332341 5619026 6094104 7109788 8428539 9632616 10664682 11238052 12442129 14219576 16857078 21329364 22476104 24884258 33714156 37326387 42658728 49768516 67428312 74652774 87094903 99537032 149305548 174189806 261284709 298611096 348379612 522569418 696759224 1045138836 2090277672