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5623460940 = 22351712743411
BaseRepresentation
bin1010011110010111…
…10011010001001100
3112111220112102012010
411033023303101030
543004101222230
62330002141220
7256232425566
oct51713632114
915456472163
105623460940
11242632a489
12110b351810
136b807cca6
143b4bd4336
1522da5a9b0
hex14f2f344c

5623460940 has 96 divisors (see below), whose sum is σ = 16803569664. Its totient is φ = 1400232960.

The previous prime is 5623460929. The next prime is 5623460993. The reversal of 5623460940 is 490643265.

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 31 ways as a sum of consecutive naturals, for example, 107835 + ... + 151245.

It is an arithmetic number, because the mean of its divisors is an integer number (175037184).

Almost surely, 25623460940 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 5623460940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401784832).

5623460940 is an abundant number, since it is smaller than the sum of its proper divisors (11180108724).

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

5623460940 is a wasteful number, since it uses less digits than its factorization.

5623460940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43567 (or 43565 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 5623460940 is about 74989.7388980652. The cubic root of 5623460940 is about 1778.2844367915.

The spelling of 5623460940 in words is "five billion, six hundred twenty-three million, four hundred sixty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 127 170 204 254 255 340 381 508 510 635 762 1020 1270 1524 1905 2159 2540 3810 4318 6477 7620 8636 10795 12954 21590 25908 32385 43180 43411 64770 86822 129540 130233 173644 217055 260466 434110 520932 651165 737987 868220 1302330 1475974 2213961 2604660 2951948 3689935 4427922 5513197 7379870 8855844 11026394 11069805 14759740 16539591 22052788 22139610 27565985 33079182 44279220 55131970 66158364 82697955 93724349 110263940 165395910 187448698 281173047 330791820 374897396 468621745 562346094 937243490 1124692188 1405865235 1874486980 2811730470 5623460940