Search a number
-
+
106578380 = 22517330803
BaseRepresentation
bin1100101101001…
…00000111001100
321102112202001102
412112210013030
5204241002010
614324202232
72432621066
oct626440714
9242482042
10106578380
1155184a07
122b839378
1319107b3c
1410224736
159553ba5
hex65a41cc

106578380 has 24 divisors (see below), whose sum is σ = 225115632. Its totient is φ = 42383552.

The previous prime is 106578371. The next prime is 106578397. The reversal of 106578380 is 83875601.

It is a super-2 number, since 2×1065783802 = 22717902166848800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11942 + ... + 18861.

It is an arithmetic number, because the mean of its divisors is an integer number (9379818).

Almost surely, 2106578380 is an apocalyptic number.

106578380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106578380 is an abundant number, since it is smaller than the sum of its proper divisors (118537252).

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

106578380 is a wasteful number, since it uses less digits than its factorization.

106578380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30985 (or 30983 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 106578380 is about 10323.6805452319. The cubic root of 106578380 is about 474.1215602104.

The spelling of 106578380 in words is "one hundred six million, five hundred seventy-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 30803 61606 123212 154015 308030 616060 5328919 10657838 21315676 26644595 53289190 106578380