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1401002120 = 23572714797
BaseRepresentation
bin101001110000001…
…1001100010001000
310121122020021121102
41103200121202020
510332124031440
6351004200532
746501215200
oct12340314210
93548207542
101401002120
116599136a1
12331239148
1319433c94b
14d40d3400
1582ee1b15
hex53819888

1401002120 has 48 divisors (see below), whose sum is σ = 3666913740. Its totient is φ = 480342912.

The previous prime is 1401002089. The next prime is 1401002129. The reversal of 1401002120 is 212001041.

It can be written as a sum of positive squares in 2 ways, for example, as 1379528164 + 21473956 = 37142^2 + 4634^2 .

It is not an unprimeable number, because it can be changed into a prime (1401002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355439 + ... + 359358.

Almost surely, 21401002120 is an apocalyptic number.

1401002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401002120 is an abundant number, since it is smaller than the sum of its proper divisors (2265911620).

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

1401002120 is a wasteful number, since it uses less digits than its factorization.

1401002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714822 (or 714811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1401002120 is about 37429.9628639944. The cubic root of 1401002120 is about 1118.9557976014.

Adding to 1401002120 its reverse (212001041), we get a palindrome (1613003161).

The spelling of 1401002120 in words is "one billion, four hundred one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 714797 1429594 2859188 3573985 5003579 5718376 7147970 10007158 14295940 20014316 25017895 28591880 35025053 40028632 50035790 70050106 100071580 140100212 175125265 200143160 280200424 350250530 700501060 1401002120