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20140120 = 23571113503
BaseRepresentation
bin100110011010…
…1000001011000
31101220020001101
41030311001120
520123440440
61555401144
7333121360
oct114650130
941806041
1020140120
1110406630
1268b31b4
134232140
1429639a0
151b7c69a
hex1335058

20140120 has 128 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 5783040.

The previous prime is 20140097. The next prime is 20140151. The reversal of 20140120 is 2104102.

It is a super-2 number, since 2×201401202 = 811248867228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20140097 and 20140106.

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, 39789 + ... + 40291.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 220140120 is an apocalyptic number.

20140120 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 20140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

20140120 is an abundant number, since it is smaller than the sum of its proper divisors (40823720).

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

20140120 is a wasteful number, since it uses less digits than its factorization.

20140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20140120 is about 4487.7745041390. The cubic root of 20140120 is about 272.0741940046.

Adding to 20140120 its reverse (2104102), we get a palindrome (22244222).

The spelling of 20140120 in words is "twenty million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 503 520 572 616 715 728 770 910 1001 1006 1144 1430 1540 1820 2002 2012 2515 2860 3080 3521 3640 4004 4024 5005 5030 5533 5720 6539 7042 8008 10010 10060 11066 13078 14084 17605 20020 20120 22132 26156 27665 28168 32695 35210 38731 40040 44264 45773 52312 55330 65390 70420 71929 77462 91546 110660 130780 140840 143858 154924 183092 193655 221320 228865 261560 287716 309848 359645 366184 387310 457730 503503 575432 719290 774620 915460 1007006 1438580 1549240 1830920 2014012 2517515 2877160 4028024 5035030 10070060 20140120