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5376232960 = 2957242859
BaseRepresentation
bin1010000000111001…
…01100111000000000
3111212200022221011021
411000130230320000
542002303423320
62245251155224
7250141140400
oct50034547000
914780287137
105376232960
11230981a43a
1210605a5b14
13678a9b247
1439003a800
15216ec2daa
hex14072ce00

5376232960 has 120 divisors (see below), whose sum is σ = 14995256760. Its totient is φ = 1843236864.

The previous prime is 5376232933. The next prime is 5376232991. The reversal of 5376232960 is 692326735.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104011 + ... + 146869.

It is an arithmetic number, because the mean of its divisors is an integer number (124960473).

Almost surely, 25376232960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5376232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497628380).

5376232960 is an abundant number, since it is smaller than the sum of its proper divisors (9619023800).

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

5376232960 is an equidigital number, since it uses as much as digits as its factorization.

5376232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42896 (or 42873 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The square root of 5376232960 is about 73322.7997283246. The cubic root of 5376232960 is about 1751.8329594780.

The spelling of 5376232960 in words is "five billion, three hundred seventy-six million, two hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 6272 7840 8960 12544 15680 17920 25088 31360 42859 62720 85718 125440 171436 214295 300013 342872 428590 600026 685744 857180 1200052 1371488 1500065 1714360 2100091 2400104 2742976 3000130 3428720 4200182 4800208 5485952 6000260 6857440 8400364 9600416 10500455 10971904 12000520 13714880 16800728 19200832 21000910 21943808 24001040 27429760 33601456 38401664 42001820 48002080 54859520 67202912 76803328 84003640 96004160 109719040 134405824 153606656 168007280 192008320 268811648 336014560 384016640 537623296 672029120 768033280 1075246592 1344058240 2688116480 5376232960