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2106388032 = 26371982487
BaseRepresentation
bin111110110001100…
…1110111001000000
312102210112121011120
41331203032321000
513303213404112
6545003112240
7103125000660
oct17543167100
95383477146
102106388032
11991001561
124a9512680
13277516668
1415da701a0
15c4dc9e8c
hex7d8cee40

2106388032 has 112 divisors (see below), whose sum is σ = 6704624640. Its totient is φ = 570143232.

The previous prime is 2106388003. The next prime is 2106388033. The reversal of 2106388032 is 2308836012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2106387984 and 2106388002.

It is not an unprimeable number, because it can be changed into a prime (2106388033) 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, 15708 + ... + 66779.

It is an arithmetic number, because the mean of its divisors is an integer number (59862720).

Almost surely, 22106388032 is an apocalyptic number.

It is an amenable number.

2106388032 is an abundant number, since it is smaller than the sum of its proper divisors (4598236608).

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

2106388032 is a wasteful number, since it uses less digits than its factorization.

2106388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82528 (or 82518 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2106388032 is about 45895.4031685092. The cubic root of 2106388032 is about 1281.8763237154.

The spelling of 2106388032 in words is "two billion, one hundred six million, three hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 82487 164974 247461 329948 494922 577409 659896 989844 1154818 1319792 1567253 1732227 1979688 2309636 2639584 3134506 3464454 3959376 4619272 4701759 5279168 6269012 6928908 7918752 9238544 9403518 10970771 12538024 13857816 15837504 18477088 18807036 21941542 25076048 27715632 32912313 36954176 37614072 43883084 50152096 55431264 65824626 75228144 87766168 100304192 110862528 131649252 150456288 175532336 263298504 300912576 351064672 526597008 702129344 1053194016 2106388032