Search a number
-
+
20681520 = 24351737137
BaseRepresentation
bin100111011100…
…1001100110000
31102220201201020
41032321030300
520243302040
62015135440
7340534656
oct116711460
942821636
1020681520
1110746372
126b14580
1343916b2
142a64dd6
151c37cd0
hex13b9330

20681520 has 160 divisors (see below), whose sum is σ = 70227648. Its totient is φ = 5013504.

The previous prime is 20681513. The next prime is 20681539. The reversal of 20681520 is 2518602.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 150892 + ... + 151028.

Almost surely, 220681520 is an apocalyptic number.

20681520 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 20681520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35113824).

20681520 is an abundant number, since it is smaller than the sum of its proper divisors (49546128).

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

20681520 is a wasteful number, since it uses less digits than its factorization.

20681520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 20681520 is about 4547.6939210989. The cubic root of 20681520 is about 274.4906052173.

The spelling of 20681520 in words is "twenty million, six hundred eighty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 137 148 170 185 204 222 240 255 272 274 296 340 370 408 411 444 510 548 555 592 629 680 685 740 816 822 888 1020 1096 1110 1258 1360 1370 1480 1644 1776 1887 2040 2055 2192 2220 2329 2516 2740 2960 3145 3288 3774 4080 4110 4440 4658 5032 5069 5480 6290 6576 6987 7548 8220 8880 9316 9435 10064 10138 10960 11645 12580 13974 15096 15207 16440 18632 18870 20276 23290 25160 25345 27948 30192 30414 32880 34935 37264 37740 40552 46580 50320 50690 55896 60828 69870 75480 76035 81104 86173 93160 101380 111792 121656 139740 150960 152070 172346 186320 202760 243312 258519 279480 304140 344692 405520 430865 517038 558960 608280 689384 861730 1034076 1216560 1292595 1378768 1723460 2068152 2585190 3446920 4136304 5170380 6893840 10340760 20681520