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2135352320 = 21051724533
BaseRepresentation
bin111111101000110…
…1110010000000000
312111211001010200222
41333101232100000
513333122233240
6551520002212
7103626123653
oct17721562000
95454033628
102135352320
119a6394892
124b7160368
132805180aa
1416384d89a
15c76ebeb5
hex7f46e400

2135352320 has 88 divisors (see below), whose sum is σ = 5423878584. Its totient is φ = 803864576.

The previous prime is 2135352311. The next prime is 2135352341. The reversal of 2135352320 is 232535312.

It can be written as a sum of positive squares in 4 ways, for example, as 44302336 + 2091049984 = 6656^2 + 45728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2135352320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74774 + ... + 99306.

Almost surely, 22135352320 is an apocalyptic number.

2135352320 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 2135352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711939292).

2135352320 is an abundant number, since it is smaller than the sum of its proper divisors (3288526264).

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

2135352320 is a wasteful number, since it uses less digits than its factorization.

2135352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24575 (or 24557 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 2135352320 is about 46209.8725382358. The cubic root of 2135352320 is about 1287.7251577190.

Adding to 2135352320 its reverse (232535312), we get a palindrome (2367887632).

The spelling of 2135352320 in words is "two billion, one hundred thirty-five million, three hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2176 2560 2720 4352 5120 5440 8704 10880 17408 21760 24533 43520 49066 87040 98132 122665 196264 245330 392528 417061 490660 785056 834122 981320 1570112 1668244 1962640 2085305 3140224 3336488 3925280 4170610 6280448 6672976 7850560 8341220 12560896 13345952 15701120 16682440 25121792 26691904 31402240 33364880 53383808 62804480 66729760 106767616 125608960 133459520 213535232 266919040 427070464 533838080 1067676160 2135352320