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213426108 = 223272321601
BaseRepresentation
bin11001011100010…
…01111110111100
3112212121011120200
430232021332330
5414114113413
633102243500
75201043360
oct1456117674
9485534520
10213426108
11aa523215
125b586590
13352a844c
14204b92a0
1513b0c573
hexcb89fbc

213426108 has 108 divisors (see below), whose sum is σ = 644939568. Its totient is φ = 58291200.

The previous prime is 213426097. The next prime is 213426119. The reversal of 213426108 is 801624312.

213426108 is a `hidden beast` number, since 2 + 1 + 3 + 42 + 610 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (213426097) and next prime (213426119).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132508 + ... + 134108.

Almost surely, 2213426108 is an apocalyptic number.

213426108 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 213426108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322469784).

213426108 is an abundant number, since it is smaller than the sum of its proper divisors (431513460).

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

213426108 is a wasteful number, since it uses less digits than its factorization.

213426108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 213426108 is about 14609.1104451982. The cubic root of 213426108 is about 597.6072371612.

The spelling of 213426108 in words is "two hundred thirteen million, four hundred twenty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 529 644 828 966 1058 1449 1587 1601 1932 2116 2898 3174 3202 3703 4761 4803 5796 6348 6404 7406 9522 9606 11109 11207 14409 14812 19044 19212 22218 22414 28818 33327 33621 36823 44436 44828 57636 66654 67242 73646 100863 110469 133308 134484 147292 201726 220938 257761 331407 403452 441876 515522 662814 773283 846929 1031044 1325628 1546566 1693858 2319849 2540787 3093132 3387716 4639698 5081574 5928503 7622361 9279396 10163148 11857006 15244722 17785509 23714012 30489444 35571018 53356527 71142036 106713054 213426108