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2135329740 = 22325291273221
BaseRepresentation
bin111111101000110…
…1000101111001100
312111210222222201200
41333101220233030
513333121022430
6551515305500
7103626001065
oct17721505714
95453888650
102135329740
119a6379925
124b714b290
1328050aa2b
1416384556c
15c76e5460
hex7f468bcc

2135329740 has 144 divisors (see below), whose sum is σ = 6755374080. Its totient is φ = 545287680.

The previous prime is 2135329739. The next prime is 2135329747. The reversal of 2135329740 is 479235312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2135329695 and 2135329704.

It is not an unprimeable number, because it can be changed into a prime (2135329747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661330 + ... + 664550.

It is an arithmetic number, because the mean of its divisors is an integer number (46912320).

Almost surely, 22135329740 is an apocalyptic number.

2135329740 is a gapful number since it is divisible by the number (20) 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 2135329740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377687040).

2135329740 is an abundant number, since it is smaller than the sum of its proper divisors (4620044340).

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

2135329740 is a wasteful number, since it uses less digits than its factorization.

2135329740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2135329740 is about 46209.6282175046. The cubic root of 2135329740 is about 1287.7206187433.

The spelling of 2135329740 in words is "two billion, one hundred thirty-five million, three hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 127 145 174 180 254 261 290 348 381 435 508 522 580 635 762 870 1044 1143 1270 1305 1524 1740 1905 2286 2540 2610 3221 3683 3810 4572 5220 5715 6442 7366 7620 9663 11049 11430 12884 14732 16105 18415 19326 22098 22860 28989 32210 33147 36830 38652 44196 48315 55245 57978 64420 66294 73660 93409 96630 110490 115956 132588 144945 165735 186818 193260 220980 280227 289890 331470 373636 409067 467045 560454 579780 662940 818134 840681 934090 1120908 1227201 1401135 1636268 1681362 1868180 2045335 2454402 2802270 3362724 3681603 4090670 4203405 4908804 5604540 6136005 7363206 8181340 8406810 11862943 12272010 14726412 16813620 18408015 23725886 24544020 35588829 36816030 47451772 59314715 71177658 73632060 106766487 118629430 142355316 177944145 213532974 237258860 355888290 427065948 533832435 711776580 1067664870 2135329740