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106869720 = 23352293889
BaseRepresentation
bin1100101111010…
…11001111011000
321110002112200210
412113223033120
5204324312340
614334331120
72435243346
oct627531730
9243075623
10106869720
1155363891
122b959aa0
13191aa629
141029c996
1595b0180
hex65eb3d8

106869720 has 64 divisors (see below), whose sum is σ = 322092000. Its totient is φ = 28366848.

The previous prime is 106869713. The next prime is 106869767. The reversal of 106869720 is 27968601.

It is a super-2 number, since 2×1068697202 = 22842274105756800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25536 + ... + 29424.

Almost surely, 2106869720 is an apocalyptic number.

106869720 is a gapful number since it is divisible by the number (10) 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 106869720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161046000).

106869720 is an abundant number, since it is smaller than the sum of its proper divisors (215222280).

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

106869720 is a wasteful number, since it uses less digits than its factorization.

106869720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 106869720 is about 10337.7811932735. The cubic root of 106869720 is about 474.5531827800.

The spelling of 106869720 in words is "one hundred six million, eight hundred sixty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1832 2290 2748 3435 3889 4580 5496 6870 7778 9160 11667 13740 15556 19445 23334 27480 31112 38890 46668 58335 77780 93336 116670 155560 233340 466680 890581 1781162 2671743 3562324 4452905 5343486 7124648 8905810 10686972 13358715 17811620 21373944 26717430 35623240 53434860 106869720