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5730412480 = 265133493947
BaseRepresentation
bin1010101011000111…
…10010011111000000
3112210100210010010021
411111203302133000
543213441144410
62344342343224
7262001462632
oct52543623700
915710703107
105730412480
112480739791
12113b12ab14
13704288920
143c50b4a52
15238134eda
hex1558f27c0

5730412480 has 112 divisors (see below), whose sum is σ = 14741042400. Its totient is φ = 2109247488.

The previous prime is 5730412477. The next prime is 5730412507. The reversal of 5730412480 is 842140375.

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, 1449867 + ... + 1453813.

It is an arithmetic number, because the mean of its divisors is an integer number (131616450).

Almost surely, 25730412480 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 5730412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370521200).

5730412480 is an abundant number, since it is smaller than the sum of its proper divisors (9010629920).

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

5730412480 is a wasteful number, since it uses less digits than its factorization.

5730412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 5730412480 is about 75699.4879771323. The cubic root of 5730412480 is about 1789.4873306845.

The spelling of 5730412480 in words is "five billion, seven hundred thirty million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 349 416 520 698 832 1040 1396 1745 2080 2792 3490 3947 4160 4537 5584 6980 7894 9074 11168 13960 15788 18148 19735 22336 22685 27920 31576 36296 39470 45370 51311 55840 63152 72592 78940 90740 102622 111680 126304 145184 157880 181480 205244 252608 256555 290368 315760 362960 410488 513110 631520 725920 820976 1026220 1263040 1377503 1451840 1641952 2052440 2755006 3283904 4104880 5510012 6887515 8209760 11020024 13775030 16419520 17907539 22040048 27550060 35815078 44080096 55100120 71630156 88160192 89537695 110200240 143260312 179075390 220400480 286520624 358150780 440800960 573041248 716301560 1146082496 1432603120 2865206240 5730412480