Search a number
-
+
2139654870 = 2325374091571
BaseRepresentation
bin111111110001000…
…1000101011010110
312112010010201200200
41333202020223112
513340222423440
6552152121330
7104010523563
oct17742105326
95463121620
102139654870
119a8863411
124b8696246
13281393592
1416424d86a
15c7c9bc30
hex7f888ad6

2139654870 has 96 divisors (see below), whose sum is σ = 5731071840. Its totient is φ = 553443840.

The previous prime is 2139654863. The next prime is 2139654889. The reversal of 2139654870 is 784569312.

2139654870 is a `hidden beast` number, since 2 + 1 + 39 + 6 + 548 + 70 = 666.

2139654870 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2139654870 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1361185 + ... + 1362755.

It is an arithmetic number, because the mean of its divisors is an integer number (59698665).

It is a 1-persistent number, because it is pandigital, but 2⋅2139654870 = 4279309740 is not.

Almost surely, 22139654870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139654870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865535920).

2139654870 is an abundant number, since it is smaller than the sum of its proper divisors (3591416970).

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

2139654870 is a wasteful number, since it uses less digits than its factorization.

2139654870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2139654870 is about 46256.4035566969. The cubic root of 2139654870 is about 1288.5894623702.

The spelling of 2139654870 in words is "two billion, one hundred thirty-nine million, six hundred fifty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 409 555 666 818 1110 1227 1571 1665 2045 2454 3142 3330 3681 4090 4713 6135 7362 7855 9426 12270 14139 15133 15710 18405 23565 28278 30266 36810 45399 47130 58127 70695 75665 90798 116254 136197 141390 151330 174381 226995 272394 290635 348762 453990 523143 581270 642539 680985 871905 1046286 1285078 1361970 1743810 1927617 2615715 3212695 3855234 5231430 5782851 6425390 9638085 11565702 19276170 23773943 28914255 47547886 57828510 71321829 118869715 142643658 213965487 237739430 356609145 427930974 713218290 1069827435 2139654870