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2142513240 = 233572364373
BaseRepresentation
bin111111110110100…
…0010100001011000
312112022111221122020
41333231002201120
513341440410430
6552333254440
7104044030200
oct17755024130
95468457566
102142513240
119aa4359aa
124b9634420
13281b5461a
14164795400
15c8163b10
hex7fb42858

2142513240 has 96 divisors (see below), whose sum is σ = 7476954480. Its totient is φ = 489715968.

The previous prime is 2142513223. The next prime is 2142513251. The reversal of 2142513240 is 423152412.

2142513240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2142513240.

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, 176307 + ... + 188066.

Almost surely, 22142513240 is an apocalyptic number.

2142513240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142513240 is an abundant number, since it is smaller than the sum of its proper divisors (5334441240).

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

2142513240 is a wasteful number, since it uses less digits than its factorization.

2142513240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364401 (or 364390 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2142513240 is about 46287.2902641751. The cubic root of 2142513240 is about 1289.1630169449.

Adding to 2142513240 its reverse (423152412), we get a palindrome (2565665652).

The spelling of 2142513240 in words is "two billion, one hundred forty-two million, five hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 364373 728746 1093119 1457492 1821865 2186238 2550611 2914984 3643730 4372476 5101222 5465595 7287460 7651833 8744952 10202444 10931190 12753055 14574920 15303666 17854277 20404888 21862380 25506110 30607332 35708554 38259165 43724760 51012220 53562831 61214664 71417108 76518330 89271385 102024440 107125662 142834216 153036660 178542770 214251324 267814155 306073320 357085540 428502648 535628310 714171080 1071256620 2142513240