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2102392320 = 2935739107
BaseRepresentation
bin111110101001111…
…1111011000000000
312102112000121002020
41331103333120000
513301203023240
6544341321440
7103046016450
oct17523773000
95375017066
102102392320
11989822516
124a8106280
13276747a32
1415d30dd60
15c488b0d0
hex7d4ff600

2102392320 has 160 divisors (see below), whose sum is σ = 7681436928. Its totient is φ = 480534528.

The previous prime is 2102392307. The next prime is 2102392333. The reversal of 2102392320 is 232932012.

It is an interprime number because it is at equal distance from previous prime (2102392307) and next prime (2102392333).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

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, 34207 + ... + 73313.

Almost surely, 22102392320 is an apocalyptic number.

2102392320 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 2102392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840718464).

2102392320 is an abundant number, since it is smaller than the sum of its proper divisors (5579044608).

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

2102392320 is an equidigital number, since it uses as much as digits as its factorization.

2102392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39140 (or 39124 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2102392320 is about 45851.8518709986. The cubic root of 2102392320 is about 1281.0652590430.

The spelling of 2102392320 in words is "two billion, one hundred two million, three hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 39107 53760 78214 117321 156428 195535 234642 273749 312856 391070 469284 547498 586605 625712 782140 821247 938568 1094996 1173210 1251424 1368745 1564280 1642494 1877136 2189992 2346420 2502848 2737490 3128560 3284988 3754272 4106235 4379984 4692840 5005696 5474980 6257120 6569976 7508544 8212470 8759968 9385680 10011392 10949960 12514240 13139952 15017088 16424940 17519936 18771360 20022784 21899920 25028480 26279904 30034176 32849880 35039872 37542720 43799840 50056960 52559808 60068352 65699760 70079744 75085440 87599680 100113920 105119616 131399520 140159488 150170880 175199360 210239232 262799040 300341760 350398720 420478464 525598080 700797440 1051196160 2102392320