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3880580136 = 233417389607
BaseRepresentation
bin1110011101001100…
…1111010000101000
3101000102222220012020
43213103033100220
530421412031021
61441022144440
7165110246466
oct34723172050
911012886166
103880580136
111711539324
12903722120
1349ac6b884
1428b549836
1517aa367c6
hexe74cf428

3880580136 has 128 divisors (see below), whose sum is σ = 10204185600. Its totient is φ = 1228677120.

The previous prime is 3880580131. The next prime is 3880580141. The reversal of 3880580136 is 6310850883.

3880580136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3880580131) and next prime (3880580141).

It is not an unprimeable number, because it can be changed into a prime (3880580131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6392745 + ... + 6393351.

It is an arithmetic number, because the mean of its divisors is an integer number (79720200).

Almost surely, 23880580136 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 3880580136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102092800).

3880580136 is an abundant number, since it is smaller than the sum of its proper divisors (6323605464).

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

3880580136 is a wasteful number, since it uses less digits than its factorization.

3880580136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 3880580136 is about 62294.3025966260. The cubic root of 3880580136 is about 1571.4439143122.

The spelling of 3880580136 in words is "three billion, eight hundred eighty million, five hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 41 73 82 89 123 146 164 178 219 246 267 292 328 356 438 492 534 584 607 712 876 984 1068 1214 1752 1821 2136 2428 2993 3642 3649 4856 5986 6497 7284 7298 8979 10947 11972 12994 14568 14596 17958 19491 21894 23944 24887 25988 29192 35916 38982 43788 44311 49774 51976 54023 71832 74661 77964 87576 88622 99548 108046 132933 149322 155928 162069 177244 199096 216092 265866 266377 298644 324138 354488 432184 531732 532754 597288 648276 799131 1063464 1065508 1296552 1598262 1816751 2131016 2214943 3196524 3633502 3943679 4429886 5450253 6393048 6644829 7267004 7887358 8859772 10900506 11831037 13289658 14534008 15774716 17719544 21801012 23662074 26579316 31549432 43602024 47324148 53158632 94648296 161690839 323381678 485072517 646763356 970145034 1293526712 1940290068 3880580136