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2135644720 = 2451117142757
BaseRepresentation
bin111111101001011…
…0101101000110000
312111211120222210121
41333102311220300
513333211112340
6551530140024
7103631452306
oct17722655060
95454528717
102135644720
119a6574540
124b7281614
132805bb201
141638c8276
15c775894a
hex7f4b5a30

2135644720 has 80 divisors (see below), whose sum is σ = 5735445408. Its totient is φ = 730910720.

The previous prime is 2135644663. The next prime is 2135644723. The reversal of 2135644720 is 274465312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2135644723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56419 + ... + 86338.

Almost surely, 22135644720 is an apocalyptic number.

2135644720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135644720 is an abundant number, since it is smaller than the sum of its proper divisors (3599800688).

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

2135644720 is a wasteful number, since it uses less digits than its factorization.

2135644720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142798 (or 142792 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2135644720 is about 46213.0362560176. The cubic root of 2135644720 is about 1287.7839323526.

The spelling of 2135644720 in words is "two billion, one hundred thirty-five million, six hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 142757 285514 571028 713785 1142056 1427570 1570327 2284112 2426869 2855140 3140654 4853738 5710280 6281308 7851635 9707476 11420560 12134345 12562616 15703270 19414952 24268690 25125232 26695559 31406540 38829904 48537380 53391118 62813080 97074760 106782236 125626160 133477795 194149520 213564472 266955590 427128944 533911180 1067822360 2135644720