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106024620 = 223513135929
BaseRepresentation
bin1100101000111…
…00111010101100
321101111121102210
412110130322230
5204120241440
614304250420
72425123452
oct624347254
9241447383
10106024620
1154936959
122b610a10
1318c72a80
141011c9d2
159494a80
hex651ceac

106024620 has 48 divisors (see below), whose sum is σ = 319707360. Its totient is φ = 26098176.

The previous prime is 106024603. The next prime is 106024637. The reversal of 106024620 is 26420601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106024603) and next prime (106024637).

It is a super-2 number, since 2×1060246202 = 22482440092288800, which contains 22 as substring.

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, 67185 + ... + 68744.

It is an arithmetic number, because the mean of its divisors is an integer number (6660570).

Almost surely, 2106024620 is an apocalyptic number.

106024620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106024620 is an abundant number, since it is smaller than the sum of its proper divisors (213682740).

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

106024620 is a wasteful number, since it uses less digits than its factorization.

106024620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135954 (or 135952 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106024620 is about 10296.8257244648. The cubic root of 106024620 is about 473.2989869058.

The spelling of 106024620 in words is "one hundred six million, twenty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 135929 271858 407787 543716 679645 815574 1359290 1631148 1767077 2038935 2718580 3534154 4077870 5301231 7068308 8155740 8835385 10602462 17670770 21204924 26506155 35341540 53012310 106024620