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1420501200 = 243522940819
BaseRepresentation
bin101010010101011…
…0010000011010000
310122222220221022120
41110222302003100
510402122014300
6352542134240
750126026626
oct12452620320
93588827276
101420501200
11669921638
12337881380
131983a9071
14d692b516
1584a943a0
hex54ab20d0

1420501200 has 120 divisors (see below), whose sum is σ = 4707362400. Its totient is φ = 365729280.

The previous prime is 1420501141. The next prime is 1420501217. The reversal of 1420501200 is 21050241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1420501200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14391 + ... + 55209.

It is an arithmetic number, because the mean of its divisors is an integer number (39228020).

Almost surely, 21420501200 is an apocalyptic number.

1420501200 is a gapful number since it is divisible by the number (10) 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 1420501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353681200).

1420501200 is an abundant number, since it is smaller than the sum of its proper divisors (3286861200).

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

1420501200 is a wasteful number, since it uses less digits than its factorization.

1420501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40869 (or 40858 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1420501200 is about 37689.5370096264. The cubic root of 1420501200 is about 1124.1230894864.

Adding to 1420501200 its reverse (21050241), we get a palindrome (1441551441).

The spelling of 1420501200 in words is "one billion, four hundred twenty million, five hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 40819 81638 122457 163276 204095 244914 326552 408190 489828 612285 653104 816380 979656 1020475 1183751 1224570 1632760 1959312 2040950 2367502 2449140 3061425 3265520 3551253 4081900 4735004 4898280 5918755 6122850 7102506 8163800 9470008 9796560 11837510 12245700 14205012 16327600 17756265 18940016 23675020 24491400 28410024 29593775 35512530 47350040 48982800 56820048 59187550 71025060 88781325 94700080 118375100 142050120 177562650 236750200 284100240 355125300 473500400 710250600 1420501200