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5180767040 = 265831311489
BaseRepresentation
bin1001101001100110…
…00011101101000000
3111101001112020022202
410310303003231000
541102234021130
62214025452332
7242245536041
oct46463035500
914331466282
105180767040
112219453a59
1210070410a8
13647440937
143720b88c8
15204c62145
hex134cc3b40

5180767040 has 112 divisors (see below), whose sum is σ = 12589093440. Its totient is φ = 2030346240.

The previous prime is 5180766947. The next prime is 5180767063. The reversal of 5180767040 is 407670815.

It is a junction number, because it is equal to n+sod(n) for n = 5180766985 and 5180767003.

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, 3478616 + ... + 3480104.

It is an arithmetic number, because the mean of its divisors is an integer number (112402620).

Almost surely, 25180767040 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 5180767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294546720).

5180767040 is an abundant number, since it is smaller than the sum of its proper divisors (7408326400).

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

5180767040 is a wasteful number, since it uses less digits than its factorization.

5180767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 5180767040 is about 71977.5453874332. The cubic root of 5180767040 is about 1730.3396306035.

The spelling of 5180767040 in words is "five billion, one hundred eighty million, seven hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 131 160 166 262 320 332 415 524 655 664 830 1048 1310 1328 1489 1660 2096 2620 2656 2978 3320 4192 5240 5312 5956 6640 7445 8384 10480 10873 11912 13280 14890 20960 21746 23824 26560 29780 41920 43492 47648 54365 59560 86984 95296 108730 119120 123587 173968 195059 217460 238240 247174 347936 390118 434920 476480 494348 617935 695872 780236 869840 975295 988696 1235870 1560472 1739680 1950590 1977392 2471740 3120944 3479360 3901180 3954784 4943480 6241888 7802360 7909568 9886960 12483776 15604720 16189897 19773920 31209440 32379794 39547840 62418880 64759588 80949485 129519176 161898970 259038352 323797940 518076704 647595880 1036153408 1295191760 2590383520 5180767040