[go: up one dir, main page]

Search a number
-
+
20358720 = 263257069
BaseRepresentation
bin100110110101…
…0011001000000
31102022022220200
41031222121000
520202434340
62004205200
7335021604
oct115523100
942268820
1020358720
1110545898
126999800
1342aa7a5
1429bd504
151bc2330
hex136a640

20358720 has 84 divisors (see below), whose sum is σ = 70035420. Its totient is φ = 5428224.

The previous prime is 20358719. The next prime is 20358721. The reversal of 20358720 is 2785302.

It is an interprime number because it is at equal distance from previous prime (20358719) and next prime (20358721).

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 13133376 = 2688^2 + 3624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20358721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655 + ... + 6414.

It is an arithmetic number, because the mean of its divisors is an integer number (833755).

Almost surely, 220358720 is an apocalyptic number.

20358720 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 20358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35017710).

20358720 is an abundant number, since it is smaller than the sum of its proper divisors (49676700).

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

20358720 is a wasteful number, since it uses less digits than its factorization.

20358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20358720 is about 4512.0638293358. The cubic root of 20358720 is about 273.0550144734.

The spelling of 20358720 in words is "twenty million, three hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7069 14138 21207 28276 35345 42414 56552 63621 70690 84828 106035 113104 127242 141380 169656 212070 226208 254484 282760 318105 339312 424140 452416 508968 565520 636210 678624 848280 1017936 1131040 1272420 1357248 1696560 2035872 2262080 2544840 3393120 4071744 5089680 6786240 10179360 20358720