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100206860 = 225132231289
BaseRepresentation
bin1011111100100…
…00100100001100
320222120000222012
411332100210030
5201123104420
613535440352
72324513165
oct576204414
9228500865
10100206860
1151622996
12296860b8
13179b6a00
14d44676c
158be5dc5
hex5f9090c

100206860 has 72 divisors (see below), whose sum is σ = 237958560. Its totient is φ = 35363328.

The previous prime is 100206859. The next prime is 100206863. The reversal of 100206860 is 68602001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (100206863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77096 + ... + 78384.

It is an arithmetic number, because the mean of its divisors is an integer number (3304980).

Almost surely, 2100206860 is an apocalyptic number.

100206860 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 100206860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118979280).

100206860 is an abundant number, since it is smaller than the sum of its proper divisors (137751700).

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

100206860 is a wasteful number, since it uses less digits than its factorization.

100206860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 100206860 is about 10010.3376566428. The cubic root of 100206860 is about 464.4787159494.

Adding to 100206860 its reverse (68602001), we get a palindrome (168808861).

The spelling of 100206860 in words is "one hundred million, two hundred six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 460 598 676 845 1196 1289 1495 1690 2578 2990 3380 3887 5156 5980 6445 7774 12890 15548 16757 19435 25780 29647 33514 38870 59294 67028 77740 83785 118588 148235 167570 217841 296470 335140 385411 435682 592940 770822 871364 1089205 1541644 1927055 2178410 3854110 4356820 5010343 7708220 10020686 20041372 25051715 50103430 100206860