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2142403020 = 223451322471
BaseRepresentation
bin111111110110010…
…0111100111001100
312112022022100110000
41333230213213030
513341423344040
6552331044300
7104043060642
oct17754474714
95468270400
102142403020
119aa37010a
124b95a0690
13281b163c4
14164767192
15c8141130
hex7fb279cc

2142403020 has 60 divisors (see below), whose sum is σ = 6720802704. Its totient is φ = 571307040.

The previous prime is 2142403009. The next prime is 2142403027. The reversal of 2142403020 is 203042412.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2142402984 and 2142403002.

It is not an unprimeable number, because it can be changed into a prime (2142403027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 659616 + ... + 662855.

Almost surely, 22142403020 is an apocalyptic number.

2142403020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142403020 is an abundant number, since it is smaller than the sum of its proper divisors (4578399684).

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

2142403020 is a wasteful number, since it uses less digits than its factorization.

2142403020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322492 (or 1322481 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2142403020 is about 46286.0996412530. The cubic root of 2142403020 is about 1289.1409098883.

Adding to 2142403020 its reverse (203042412), we get a palindrome (2345445432).

The spelling of 2142403020 in words is "two billion, one hundred forty-two million, four hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1322471 2644942 3967413 5289884 6612355 7934826 11902239 13224710 15869652 19837065 23804478 26449420 35706717 39674130 47608956 59511195 71413434 79348260 107120151 119022390 142826868 178533585 214240302 238044780 357067170 428480604 535600755 714134340 1071201510 2142403020