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100041060 = 22357313761
BaseRepresentation
bin1011111011010…
…00000101100100
320222020121112110
411331220011210
5201102303220
613532121020
72323222620
oct575500544
9228217473
10100041060
115151a369
1229606170
13179593c2
14d402180
158bb1be0
hex5f68164

100041060 has 96 divisors (see below), whose sum is σ = 321576192. Its totient is φ = 22763520.

The previous prime is 100041031. The next prime is 100041083. The reversal of 100041060 is 60140001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 131080 + ... + 131840.

It is an arithmetic number, because the mean of its divisors is an integer number (3349752).

Almost surely, 2100041060 is an apocalyptic number.

100041060 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 100041060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160788096).

100041060 is an abundant number, since it is smaller than the sum of its proper divisors (221535132).

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

100041060 is a wasteful number, since it uses less digits than its factorization.

100041060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100041060 is about 10002.0527893028. The cubic root of 100041060 is about 464.2224025476. Note that the first 3 decimals are identical.

Adding to 100041060 its reverse (60140001), we get a palindrome (160181061).

The spelling of 100041060 in words is "one hundred million, forty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 313 420 626 761 939 1252 1522 1565 1878 2191 2283 3044 3130 3756 3805 4382 4566 4695 5327 6260 6573 7610 8764 9132 9390 10654 10955 11415 13146 15220 15981 18780 21308 21910 22830 26292 26635 31962 32865 43820 45660 53270 63924 65730 79905 106540 131460 159810 238193 319620 476386 714579 952772 1190965 1429158 1667351 2381930 2858316 3334702 3572895 4763860 5002053 6669404 7145790 8336755 10004106 14291580 16673510 20008212 25010265 33347020 50020530 100041060