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213078690 = 2325111012131
BaseRepresentation
bin11001011001101…
…01001010100010
3112211221112000100
430230311022202
5414022004230
633051003230
75165065446
oct1454651242
9484845010
10213078690
11aa3061a0
125b439516
13351b6286
1420428826
1513a8e660
hexcb352a2

213078690 has 96 divisors (see below), whose sum is σ = 610638912. Its totient is φ = 51120000.

The previous prime is 213078661. The next prime is 213078707. The reversal of 213078690 is 96870312.

It is a super-2 number, since 2×2130786902 = 90805056264232200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 98925 + ... + 101055.

It is an arithmetic number, because the mean of its divisors is an integer number (6360822).

Almost surely, 2213078690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213078690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305319456).

213078690 is an abundant number, since it is smaller than the sum of its proper divisors (397560222).

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

213078690 is a wasteful number, since it uses less digits than its factorization.

213078690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 213078690 is about 14597.2151453625. The cubic root of 213078690 is about 597.2827965849.

The spelling of 213078690 in words is "two hundred thirteen million, seventy-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 101 110 165 198 202 303 330 495 505 606 909 990 1010 1111 1515 1818 2131 2222 3030 3333 4262 4545 5555 6393 6666 9090 9999 10655 11110 12786 16665 19179 19998 21310 23441 31965 33330 38358 46882 49995 63930 70323 95895 99990 117205 140646 191790 210969 215231 234410 351615 421938 430462 645693 703230 1054845 1076155 1291386 1937079 2109690 2152310 2367541 3228465 3874158 4735082 6456930 7102623 9685395 11837705 14205246 19370790 21307869 23675410 35513115 42615738 71026230 106539345 213078690