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61906104 = 23321319592
BaseRepresentation
bin1110110000100…
…1110010111000
311022111011012200
43230021302320
5111321443404
610050510200
71351123161
oct354116270
9138434180
1061906104
1131a42a77
1218895360
13ca96740
148316768
15567c839
hex3b09cb8

61906104 has 144 divisors (see below), whose sum is σ = 193338600. Its totient is φ = 17739648.

The previous prime is 61906099. The next prime is 61906121. The reversal of 61906104 is 40160916.

61906104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049227 + ... + 1049285.

Almost surely, 261906104 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 61906104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96669300).

61906104 is an abundant number, since it is smaller than the sum of its proper divisors (131432496).

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

61906104 is a wasteful number, since it uses less digits than its factorization.

61906104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61906104 is about 7868.0432128961. The cubic root of 61906104 is about 395.5892588423.

The spelling of 61906104 in words is "sixty-one million, nine hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 59 72 76 78 104 114 117 118 152 156 171 177 228 234 236 247 312 342 354 456 468 472 494 531 684 708 741 767 936 988 1062 1121 1368 1416 1482 1534 1976 2124 2223 2242 2301 2964 3068 3363 3481 4248 4446 4484 4602 5928 6136 6726 6903 6962 8892 8968 9204 10089 10443 13452 13806 13924 14573 17784 18408 20178 20886 26904 27612 27848 29146 31329 40356 41772 43719 45253 55224 58292 62658 66139 80712 83544 87438 90506 116584 125316 131157 132278 135759 174876 181012 198417 250632 262314 264556 271518 349752 362024 396834 407277 524628 529112 543036 595251 793668 814554 859807 1049256 1086072 1190502 1587336 1629108 1719614 2381004 2579421 3258216 3439228 4762008 5158842 6878456 7738263 10317684 15476526 20635368 30953052 61906104