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5640466320 = 243352639929
BaseRepresentation
bin1010100000011001…
…01010111110010000
3112120002112101012000
411100030222332100
543022424410240
62331410434000
7256530113136
oct52014527620
915502471160
105640466320
112434994915
121114b92900
136bb755348
143b717d756
152302b9430
hex15032af90

5640466320 has 160 divisors (see below), whose sum is σ = 19504108800. Its totient is φ = 1498254336.

The previous prime is 5640466313. The next prime is 5640466339. The reversal of 5640466320 is 236640465.

5640466320 is a `hidden beast` number, since 5 + 640 + 4 + 6 + 6 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563116 + ... + 573044.

It is an arithmetic number, because the mean of its divisors is an integer number (121900680).

Almost surely, 25640466320 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 5640466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752054400).

5640466320 is an abundant number, since it is smaller than the sum of its proper divisors (13863642480).

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

5640466320 is a wasteful number, since it uses less digits than its factorization.

5640466320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10214 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5640466320 is about 75103.0380211080. The cubic root of 5640466320 is about 1780.0751472714.

The spelling of 5640466320 in words is "five billion, six hundred forty million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 263 270 360 432 526 540 720 789 1052 1080 1315 1578 2104 2160 2367 2630 3156 3945 4208 4734 5260 6312 7101 7890 9468 9929 10520 11835 12624 14202 15780 18936 19858 21040 23670 28404 29787 31560 35505 37872 39716 47340 49645 56808 59574 63120 71010 79432 89361 94680 99290 113616 119148 142020 148935 158864 178722 189360 198580 238296 268083 284040 297870 357444 397160 446805 476592 536166 568080 595740 714888 794320 893610 1072332 1191480 1340415 1429776 1787220 2144664 2382960 2611327 2680830 3574440 4289328 5222654 5361660 7148880 7833981 10445308 10723320 13056635 15667962 20890616 21446640 23501943 26113270 31335924 39169905 41781232 47003886 52226540 62671848 70505829 78339810 94007772 104453080 117509715 125343696 141011658 156679620 188015544 208906160 235019430 282023316 313359240 352529145 376031088 470038860 564046632 626718480 705058290 940077720 1128093264 1410116580 1880155440 2820233160 5640466320