Search a number
-
+
139407268 = 227111337941
BaseRepresentation
bin10000100111100…
…10111110100100
3100201022121211011
420103302332210
5241142013033
621455552004
73311641120
oct1023627644
9321277734
10139407268
1171767820
123a82b604
1322b60610
141472c580
15c38accd
hex84f2fa4

139407268 has 96 divisors (see below), whose sum is σ = 336768768. Its totient is φ = 48729600.

The previous prime is 139407253. The next prime is 139407269. The reversal of 139407268 is 862704931.

139407268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 139407268.

It is not an unprimeable number, because it can be changed into a prime (139407269) 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, 147678 + ... + 148618.

It is an arithmetic number, because the mean of its divisors is an integer number (3508008).

Almost surely, 2139407268 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 139407268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168384384).

139407268 is an abundant number, since it is smaller than the sum of its proper divisors (197361500).

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

139407268 is a wasteful number, since it uses less digits than its factorization.

139407268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 139407268 is about 11807.0854998175. The cubic root of 139407268 is about 518.5155741861.

The spelling of 139407268 in words is "one hundred thirty-nine million, four hundred seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 37 44 52 74 77 91 143 148 154 182 259 286 308 364 407 481 518 572 814 941 962 1001 1036 1628 1882 1924 2002 2849 3367 3764 4004 5291 5698 6587 6734 10351 10582 11396 12233 13174 13468 20702 21164 24466 26348 34817 37037 41404 48932 69634 72457 74074 85631 134563 139268 144914 148148 171262 243719 269126 289828 342524 382987 452621 487438 538252 765974 905242 941941 974876 1531948 1810484 1883882 2680909 3168347 3767764 4978831 5361818 6336694 9957662 10723636 12673388 19915324 34851817 69703634 139407268