Search a number
-
+
106435830 = 23511331397
BaseRepresentation
bin1100101100000…
…01010011110110
321102021111111210
412112001103312
5204221421310
614321142250
72431455354
oct626012366
9242244453
10106435830
11550978a6
122b78a986
1319087ca7
14101c87d4
159526820
hex65814f6

106435830 has 32 divisors (see below), whose sum is σ = 257714784. Its totient is φ = 28130816.

The previous prime is 106435817. The next prime is 106435841. The reversal of 106435830 is 38534601.

It is a super-2 number, since 2×1064358302 = 22657171815577800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12309 + ... + 19088.

It is an arithmetic number, because the mean of its divisors is an integer number (8053587).

Almost surely, 2106435830 is an apocalyptic number.

106435830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106435830 is an abundant number, since it is smaller than the sum of its proper divisors (151278954).

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

106435830 is a wasteful number, since it uses less digits than its factorization.

106435830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31520.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 106435830 is about 10316.7742051477. The cubic root of 106435830 is about 473.9100846021.

The spelling of 106435830 in words is "one hundred six million, four hundred thirty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 113 226 339 565 678 1130 1695 3390 31397 62794 94191 156985 188382 313970 470955 941910 3547861 7095722 10643583 17739305 21287166 35478610 53217915 106435830