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5140657920 = 28352575209
BaseRepresentation
bin1001100100110100…
…00011011100000000
3111021021001110221210
410302122003130000
541012002023140
62210034050120
7241250604606
oct46232033400
914237043853
105140657920
1121a8849422
12bb5719940
1363c039528
1436aa37876
1520148cd80
hex132683700

5140657920 has 144 divisors (see below), whose sum is σ = 16485023520. Its totient is φ = 1365245952.

The previous prime is 5140657913. The next prime is 5140657939. The reversal of 5140657920 is 297560415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984276 + ... + 989484.

It is an arithmetic number, because the mean of its divisors is an integer number (114479330).

Almost surely, 25140657920 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 5140657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8242511760).

5140657920 is an abundant number, since it is smaller than the sum of its proper divisors (11344365600).

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

5140657920 is a wasteful number, since it uses less digits than its factorization.

5140657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5140657920 is about 71698.3815716924. The cubic root of 5140657920 is about 1725.8626695377.

The spelling of 5140657920 in words is "five billion, one hundred forty million, six hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 257 320 384 480 514 640 768 771 960 1028 1280 1285 1542 1920 2056 2570 3084 3840 3855 4112 5140 5209 6168 7710 8224 10280 10418 12336 15420 15627 16448 20560 20836 24672 26045 30840 31254 32896 41120 41672 49344 52090 61680 62508 65792 78135 82240 83344 98688 104180 123360 125016 156270 164480 166688 197376 208360 246720 250032 312540 328960 333376 416720 493440 500064 625080 666752 833440 986880 1000128 1250160 1333504 1338713 1666880 2000256 2500320 2677426 3333760 4000512 4016139 5000640 5354852 6667520 6693565 8032278 10001280 10709704 13387130 16064556 20002560 20080695 21419408 26774260 32129112 40161390 42838816 53548520 64258224 80322780 85677632 107097040 128516448 160645560 171355264 214194080 257032896 321291120 342710528 428388160 514065792 642582240 856776320 1028131584 1285164480 1713552640 2570328960 5140657920