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5790716920 = 235312199757
BaseRepresentation
bin1010110010010011…
…10101001111111000
3112221120020220021001
411121021311033320
543324410420140
62354335054344
7263333165422
oct53111651770
915846226231
105790716920
11250178836a
1211573713b4
13713911321
143cd0d1812
1523d597e9a
hex1592753f8

5790716920 has 96 divisors (see below), whose sum is σ = 13548492000. Its totient is φ = 2227357440.

The previous prime is 5790716863. The next prime is 5790716929. The reversal of 5790716920 is 296170975.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790716929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7649182 + ... + 7649938.

It is an arithmetic number, because the mean of its divisors is an integer number (141130125).

Almost surely, 25790716920 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 5790716920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774246000).

5790716920 is an abundant number, since it is smaller than the sum of its proper divisors (7757775080).

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

5790716920 is a wasteful number, since it uses less digits than its factorization.

5790716920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 46.

The square root of 5790716920 is about 76096.7602464126. The cubic root of 5790716920 is about 1795.7427083010.

The spelling of 5790716920 in words is "five billion, seven hundred ninety million, seven hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 199 248 310 398 620 757 796 961 995 1240 1514 1592 1922 1990 3028 3785 3844 3980 4805 6056 6169 7570 7688 7960 9610 12338 15140 19220 23467 24676 30280 30845 38440 46934 49352 61690 93868 117335 123380 150643 187736 191239 234670 246760 301286 382478 469340 602572 727477 753215 764956 938680 956195 1205144 1454954 1506430 1529912 1912390 2909908 3012860 3637385 3824780 4669933 5819816 6025720 7274770 7649560 9339866 14549540 18679732 23349665 29099080 37359464 46699330 93398660 144767923 186797320 289535846 579071692 723839615 1158143384 1447679230 2895358460 5790716920