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2139176940 = 2235193675113
BaseRepresentation
bin111111110000001…
…0011111111101100
312112002020110002120
41333200103333230
513340112130230
6552133552540
7104003463315
oct17740237754
95462213076
102139176940
119a856732a
124b84a5750
13281256b94
1416416760c
15c7c05310
hex7f813fec

2139176940 has 96 divisors (see below), whose sum is σ = 6323358720. Its totient is φ = 538845696.

The previous prime is 2139176899. The next prime is 2139176947. The reversal of 2139176940 is 496719312.

It is a junction number, because it is equal to n+sod(n) for n = 2139176892 and 2139176901.

It is not an unprimeable number, because it can be changed into a prime (2139176947) 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, 415824 + ... + 420936.

It is an arithmetic number, because the mean of its divisors is an integer number (65868320).

Almost surely, 22139176940 is an apocalyptic number.

2139176940 is a gapful number since it is divisible by the number (20) 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 2139176940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161679360).

2139176940 is an abundant number, since it is smaller than the sum of its proper divisors (4184181780).

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

2139176940 is a wasteful number, since it uses less digits than its factorization.

2139176940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 2139176940 is about 46251.2371726422. The cubic root of 2139176940 is about 1288.4935120949.

The spelling of 2139176940 in words is "two billion, one hundred thirty-nine million, one hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 367 380 570 734 1101 1140 1468 1835 2202 3670 4404 5113 5505 6973 7340 10226 11010 13946 15339 20452 20919 22020 25565 27892 30678 34865 41838 51130 61356 69730 76695 83676 97147 102260 104595 139460 153390 194294 209190 291441 306780 388588 418380 485735 582882 971470 1165764 1457205 1876471 1942940 2914410 3752942 5629413 5828820 7505884 9382355 11258826 18764710 22517652 28147065 35652949 37529420 56294130 71305898 106958847 112588260 142611796 178264745 213917694 356529490 427835388 534794235 713058980 1069588470 2139176940