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2106943500 = 223534313259
BaseRepresentation
bin111110110010101…
…0110100000001100
312102211120211010110
41331211112200030
513303334143000
6545023040020
7103132503264
oct17545264014
95384524113
102106943500
11991350922
124a9740010
1327767c43c
1415db767a4
15c4e89850
hex7d95680c

2106943500 has 96 divisors (see below), whose sum is σ = 6151541760. Its totient is φ = 560376000.

The previous prime is 2106943493. The next prime is 2106943507. The reversal of 2106943500 is 53496012.

It is an interprime number because it is at equal distance from previous prime (2106943493) and next prime (2106943507).

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

It is not an unprimeable number, because it can be changed into a prime (2106943507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644871 + ... + 648129.

It is an arithmetic number, because the mean of its divisors is an integer number (64078560).

Almost surely, 22106943500 is an apocalyptic number.

2106943500 is a gapful number since it is divisible by the number (20) 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 2106943500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075770880).

2106943500 is an abundant number, since it is smaller than the sum of its proper divisors (4044598260).

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

2106943500 is a wasteful number, since it uses less digits than its factorization.

2106943500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2106943500 is about 45901.4542253293. The cubic root of 2106943500 is about 1281.9889934746.

The spelling of 2106943500 in words is "two billion, one hundred six million, nine hundred forty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 431 500 750 862 1293 1500 1724 2155 2586 3259 4310 5172 6465 6518 8620 9777 10775 12930 13036 16295 19554 21550 25860 32325 32590 39108 43100 48885 53875 64650 65180 81475 97770 107750 129300 161625 162950 195540 215500 244425 323250 325900 407375 488850 646500 814750 977700 1222125 1404629 1629500 2444250 2809258 4213887 4888500 5618516 7023145 8427774 14046290 16855548 21069435 28092580 35115725 42138870 70231450 84277740 105347175 140462900 175578625 210694350 351157250 421388700 526735875 702314500 1053471750 2106943500