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5690584160 = 255291498231
BaseRepresentation
bin1010100110010111…
…10110110001100000
3112200120211121221022
411103023312301200
543123242143120
62340400545012
7261006111242
oct52313666140
915616747838
105690584160
112460206118
121129922168
136c8c52281
143bdaa8092
152348b9025
hex1532f6c60

5690584160 has 96 divisors (see below), whose sum is σ = 14002632000. Its totient is φ = 2182727680.

The previous prime is 5690584157. The next prime is 5690584171. The reversal of 5690584160 is 614850965.

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, 687245 + ... + 695475.

It is an arithmetic number, because the mean of its divisors is an integer number (145860750).

Almost surely, 25690584160 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 5690584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001316000).

5690584160 is an abundant number, since it is smaller than the sum of its proper divisors (8312047840).

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

5690584160 is a wasteful number, since it uses less digits than its factorization.

5690584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8424 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 5690584160 is about 75435.9606553797. The cubic root of 5690584160 is about 1785.3318394322.

The spelling of 5690584160 in words is "five billion, six hundred ninety million, five hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 149 160 232 290 298 464 580 596 745 928 1160 1192 1490 2320 2384 2980 4321 4640 4768 5960 8231 8642 11920 16462 17284 21605 23840 32924 34568 41155 43210 65848 69136 82310 86420 131696 138272 164620 172840 238699 263392 329240 345680 477398 658480 691360 954796 1193495 1226419 1316960 1909592 2386990 2452838 3819184 4773980 4905676 6132095 7638368 9547960 9811352 12264190 19095920 19622704 24528380 35566151 38191840 39245408 49056760 71132302 98113520 142264604 177830755 196227040 284529208 355661510 569058416 711323020 1138116832 1422646040 2845292080 5690584160