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3990218960 = 245721378301
BaseRepresentation
bin1110110111010101…
…1110100011010000
3101022002022010101102
43231311132203100
531132444001320
61455540123532
7200611205300
oct35565364320
911262263342
103990218960
111768413622
129343965a8
134b78a8710
1429bd29600
15185492175
hexedd5e8d0

3990218960 has 120 divisors (see below), whose sum is σ = 11622209256. Its totient is φ = 1262822400.

The previous prime is 3990218923. The next prime is 3990218977. The reversal of 3990218960 is 698120993.

It can be written as a sum of positive squares in 4 ways, for example, as 49392784 + 3940826176 = 7028^2 + 62776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11810 + ... + 90110.

Almost surely, 23990218960 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 3990218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811104628).

3990218960 is an abundant number, since it is smaller than the sum of its proper divisors (7631990296).

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

3990218960 is a wasteful number, since it uses less digits than its factorization.

3990218960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78341 (or 78328 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The square root of 3990218960 is about 63168.1799642826. The cubic root of 3990218960 is about 1586.1061264854.

The spelling of 3990218960 in words is "three billion, nine hundred ninety million, two hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 637 728 784 910 980 1040 1274 1456 1820 1960 2548 3185 3640 3920 5096 6370 7280 10192 12740 25480 50960 78301 156602 313204 391505 548107 626408 783010 1017913 1096214 1252816 1566020 2035826 2192428 2740535 3132040 3836749 4071652 4384856 5089565 5481070 6264080 7125391 7673498 8143304 8769712 10179130 10962140 14250782 15346996 16286608 19183745 20358260 21924280 28501564 30693992 35626955 38367490 40716520 43848560 49877737 57003128 61387984 71253910 76734980 81433040 99755474 114006256 142507820 153469960 199510948 249388685 285015640 306939920 399021896 498777370 570031280 798043792 997554740 1995109480 3990218960