Search a number
-
+
20701500 = 2235337373
BaseRepresentation
bin100111011111…
…0000100111100
31102221202010020
41032332010330
520244422000
62015412140
7340650141
oct116760474
942852106
1020701500
111075a386
126b24050
13439a811
142a6c3c8
151c3dba0
hex13be13c

20701500 has 96 divisors (see below), whose sum is σ = 62078016. Its totient is φ = 5356800.

The previous prime is 20701493. The next prime is 20701511. The reversal of 20701500 is 510702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20701500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55314 + ... + 55686.

It is an arithmetic number, because the mean of its divisors is an integer number (646646).

Almost surely, 220701500 is an apocalyptic number.

20701500 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 20701500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31039008).

20701500 is an abundant number, since it is smaller than the sum of its proper divisors (41376516).

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

20701500 is a wasteful number, since it uses less digits than its factorization.

20701500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 20701500 is about 4549.8901085631. The cubic root of 20701500 is about 274.5789700496.

It can be divided in two parts, 2070 and 1500, that added together give a triangular number (3570 = T84).

The spelling of 20701500 in words is "twenty million, seven hundred one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 300 370 373 375 444 500 555 740 746 750 925 1110 1119 1492 1500 1850 1865 2220 2238 2775 3700 3730 4476 4625 5550 5595 7460 9250 9325 11100 11190 13801 13875 18500 18650 22380 27602 27750 27975 37300 41403 46625 55204 55500 55950 69005 82806 93250 111900 138010 139875 165612 186500 207015 276020 279750 345025 414030 559500 690050 828060 1035075 1380100 1725125 2070150 3450250 4140300 5175375 6900500 10350750 20701500