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380006536 = 237131983331
BaseRepresentation
bin10110101001100…
…111000010001000
3222111001022222011
4112221213002020
51234240202121
6101412505304
712263000530
oct2651470210
9874038864
10380006536
1118555a598
12a731b234
1360961150
143867c4c0
15235647e1
hex16a67088

380006536 has 128 divisors (see below), whose sum is σ = 937036800. Its totient is φ = 140279040.

The previous prime is 380006531. The next prime is 380006579. The reversal of 380006536 is 635600083.

It is a junction number, because it is equal to n+sod(n) for n = 380006498 and 380006507.

It is not an unprimeable number, because it can be changed into a prime (380006531) 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, 1147891 + ... + 1148221.

It is an arithmetic number, because the mean of its divisors is an integer number (7320600).

Almost surely, 2380006536 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 380006536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468518400).

380006536 is an abundant number, since it is smaller than the sum of its proper divisors (557030264).

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

380006536 is a wasteful number, since it uses less digits than its factorization.

380006536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 380006536 is about 19493.7563337598. The cubic root of 380006536 is about 724.3197970634.

The spelling of 380006536 in words is "three hundred eighty million, six thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 83 91 104 133 152 166 182 247 266 331 332 364 494 532 581 662 664 728 988 1064 1079 1162 1324 1577 1729 1976 2158 2317 2324 2648 3154 3458 4303 4316 4634 4648 6289 6308 6916 7553 8606 8632 9268 11039 12578 12616 13832 15106 17212 18536 20501 22078 25156 27473 30121 30212 34424 41002 44023 44156 50312 54946 60242 60424 81757 82004 88046 88312 109892 120484 143507 163514 164008 176092 192311 219784 240968 287014 327028 352184 357149 384622 521987 572299 574028 654056 714298 769244 1043974 1144598 1148056 1428596 1538488 2087948 2289196 2500043 2857192 3653909 4175896 4578392 5000086 6785831 7307818 10000172 13571662 14615636 20000344 27143324 29231272 47500817 54286648 95001634 190003268 380006536