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5780496000 = 27353120427
BaseRepresentation
bin1010110001000101…
…10101111010000000
3112220212000121210110
411120202311322000
543314301333000
62353332031320
7263150256006
oct53042657200
915825017713
105780496000
1124a6a37224
121153a62540
13711773046
143cb9d0a76
1523c729850
hex1588b5e80

5780496000 has 128 divisors (see below), whose sum is σ = 19162503360. Its totient is φ = 1541452800.

The previous prime is 5780495993. The next prime is 5780496011. The reversal of 5780496000 is 6940875.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5780496000.

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, 12214 + ... + 108213.

Almost surely, 25780496000 is an apocalyptic number.

5780496000 is a gapful number since it is divisible by the number (50) 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 5780496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581251680).

5780496000 is an abundant number, since it is smaller than the sum of its proper divisors (13382007360).

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

5780496000 is a wasteful number, since it uses less digits than its factorization.

5780496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120459 (or 120437 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 5780496000 is about 76029.5731935936. The cubic root of 5780496000 is about 1794.6855592989.

The spelling of 5780496000 in words is "five billion, seven hundred eighty million, four hundred ninety-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 120427 240854 361281 481708 602135 722562 963416 1204270 1445124 1806405 1926832 2408540 2890248 3010675 3612810 3853664 4817080 5780496 6021350 7225620 7707328 9032025 9634160 11560992 12042700 14451240 15053375 15414656 18064050 19268320 23121984 24085400 28902480 30106750 36128100 38536640 45160125 46243968 48170800 57804960 60213500 72256200 77073280 90320250 96341600 115609920 120427000 144512400 180640500 192683200 231219840 240854000 289024800 361281000 385366400 481708000 578049600 722562000 963416000 1156099200 1445124000 1926832000 2890248000 5780496000