Search a number
-
+
20301000240 = 2435271457683
BaseRepresentation
bin10010111010000010…
…001010111000110000
31221101210220122221210
4102322002022320300
5313034024001430
613154240520120
71316035440423
oct227202127060
957353818853
1020301000240
118678426a54
123b26920040
131bb6b65aa1
14da82799ba
157dc3c62b0
hex4ba08ae30

20301000240 has 160 divisors (see below), whose sum is σ = 63396228096. Its totient is φ = 5373941760.

The previous prime is 20301000233. The next prime is 20301000253. The reversal of 20301000240 is 4200010302.

It is a super-2 number, since 2×203010002402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 29722939 + ... + 29723621.

Almost surely, 220301000240 is an apocalyptic number.

20301000240 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 20301000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31698114048).

20301000240 is an abundant number, since it is smaller than the sum of its proper divisors (43095227856).

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

20301000240 is a wasteful number, since it uses less digits than its factorization.

20301000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20301000240 its reverse (4200010302), we get a palindrome (24501010542).

The spelling of 20301000240 in words is "twenty billion, three hundred one million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 271 457 542 683 813 914 1084 1355 1366 1371 1626 1828 2049 2168 2285 2710 2732 2742 3252 3415 3656 4065 4098 4336 4570 5420 5464 5484 6504 6830 6855 7312 8130 8196 9140 10245 10840 10928 10968 13008 13660 13710 16260 16392 18280 20490 21680 21936 27320 27420 32520 32784 36560 40980 54640 54840 65040 81960 109680 123847 163920 185093 247694 312131 370186 371541 495388 555279 619235 624262 740372 743082 925465 936393 990776 1110558 1238470 1248524 1480744 1486164 1560655 1850930 1857705 1872786 1981552 2221116 2476940 2497048 2776395 2961488 2972328 3121310 3701860 3715410 3745572 4442232 4681965 4953880 4994096 5552790 5944656 6242620 7403720 7430820 7491144 8884464 9363930 9907760 11105580 12485240 14807440 14861640 14982288 18727860 22211160 24970480 29723280 37455720 44422320 74911440 84587501 169175002 253762503 338350004 422937505 507525006 676700008 845875010 1015050012 1268812515 1353400016 1691750020 2030100024 2537625030 3383500040 4060200048 5075250060 6767000080 10150500120 20301000240