Search a number
-
+
6928809920 = 265291495011
BaseRepresentation
bin1100111001111110…
…10011111111000000
3122212212210000100122
412130333103333000
5103142233404140
63103312235412
7333462625004
oct63477237700
918785700318
106928809920
112a3615049a
12141453bb68
1386563b836
1449a308704
152a8455ab5
hex19cfd3fc0

6928809920 has 112 divisors (see below), whose sum is σ = 17186148000. Its totient is φ = 2657464320.

The previous prime is 6928809919. The next prime is 6928809929. The reversal of 6928809920 is 299088296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6928809929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380215 + ... + 1385225.

It is an arithmetic number, because the mean of its divisors is an integer number (153447750).

Almost surely, 26928809920 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 6928809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593074000).

6928809920 is an abundant number, since it is smaller than the sum of its proper divisors (10257338080).

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

6928809920 is a wasteful number, since it uses less digits than its factorization.

6928809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The square root of 6928809920 is about 83239.4733284636. The cubic root of 6928809920 is about 1906.4242300734.

The spelling of 6928809920 in words is "six billion, nine hundred twenty-eight million, eight hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 149 160 232 290 298 320 464 580 596 745 928 1160 1192 1490 1856 2320 2384 2980 4321 4640 4768 5011 5960 8642 9280 9536 10022 11920 17284 20044 21605 23840 25055 34568 40088 43210 47680 50110 69136 80176 86420 100220 138272 145319 160352 172840 200440 276544 290638 320704 345680 400880 581276 691360 726595 746639 801760 1162552 1382720 1453190 1493278 1603520 2325104 2906380 2986556 3733195 4650208 5812760 5973112 7466390 9300416 11625520 11946224 14932780 21652531 23251040 23892448 29865560 43305062 46502080 47784896 59731120 86610124 108262655 119462240 173220248 216525310 238924480 346440496 433050620 692880992 866101240 1385761984 1732202480 3464404960 6928809920