Search a number
-
+
39107016 = 23331319733
BaseRepresentation
bin1001010100101…
…1100111001000
32201120211202000
42111023213020
540002411031
63514111000
7653255424
oct225134710
981524660
1039107016
1120090753
121111b460
138143260
14529db84
1536773e6
hex254b9c8

39107016 has 128 divisors (see below), whose sum is σ = 123312000. Its totient is φ = 11384064.

The previous prime is 39106967. The next prime is 39107023. The reversal of 39107016 is 61070193.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 52986 + ... + 53718.

It is an arithmetic number, because the mean of its divisors is an integer number (963375).

Almost surely, 239107016 is an apocalyptic number.

39107016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39107016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61656000).

39107016 is an abundant number, since it is smaller than the sum of its proper divisors (84204984).

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

39107016 is a wasteful number, since it uses less digits than its factorization.

39107016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 39107016 is about 6253.5602659605. The cubic root of 39107016 is about 339.4310438259.

It can be divided in two parts, 3 and 9107016, that added together give a palindrome (9107019).

The spelling of 39107016 in words is "thirty-nine million, one hundred seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 733 741 936 988 1026 1368 1404 1466 1482 1976 2052 2199 2223 2808 2932 2964 4104 4398 4446 5864 5928 6597 6669 8796 8892 9529 13194 13338 13927 17592 17784 19058 19791 26388 26676 27854 28587 38116 39582 41781 52776 53352 55708 57174 76232 79164 83562 85761 111416 114348 125343 158328 167124 171522 181051 228696 250686 257283 334248 343044 362102 376029 501372 514566 543153 686088 724204 752058 1002744 1029132 1086306 1448408 1504116 1629459 2058264 2172612 3008232 3258918 4345224 4888377 6517836 9776754 13035672 19553508 39107016