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20387700 = 223552839
BaseRepresentation
bin100110111000…
…1011101110100
31102100210200000
41031301131310
520204401300
62004551300
7335202234
oct115613564
942323600
1020387700
1110565643
1269b2530
1342baa38
1429c9cc4
151bcac00
hex1371774

20387700 has 108 divisors (see below), whose sum is σ = 66349920. Its totient is φ = 5430240.

The previous prime is 20387699. The next prime is 20387711. The reversal of 20387700 is 778302.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×203877002 = 831316622580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23881 + ... + 24719.

Almost surely, 220387700 is an apocalyptic number.

20387700 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 20387700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33174960).

20387700 is an abundant number, since it is smaller than the sum of its proper divisors (45962220).

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

20387700 is a wasteful number, since it uses less digits than its factorization.

20387700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20387700 is about 4515.2740780599. The cubic root of 20387700 is about 273.1845147986.

The spelling of 20387700 in words is "twenty million, three hundred eighty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 839 900 972 1215 1350 1620 1678 2025 2430 2517 2700 3356 4050 4195 4860 5034 6075 7551 8100 8390 10068 12150 12585 15102 16780 20975 22653 24300 25170 30204 37755 41950 45306 50340 62925 67959 75510 83900 90612 113265 125850 135918 151020 188775 203877 226530 251700 271836 339795 377550 407754 453060 566325 679590 755100 815508 1019385 1132650 1359180 1698975 2038770 2265300 3397950 4077540 5096925 6795900 10193850 20387700