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2068377840 = 243254170067
BaseRepresentation
bin111101101001000…
…1111000011110000
312100011000110222200
41323102033003300
513214001042330
6541124303200
7102153631044
oct17322170360
95304013880
102068377840
119715aa981
12498841b00
1326c698719
141589b8024
15c18bca60
hex7b48f0f0

2068377840 has 120 divisors (see below), whose sum is σ = 7115825808. Its totient is φ = 538106880.

The previous prime is 2068377827. The next prime is 2068377859. The reversal of 2068377840 is 487738602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5514 + ... + 64553.

Almost surely, 22068377840 is an apocalyptic number.

2068377840 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 2068377840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557912904).

2068377840 is an abundant number, since it is smaller than the sum of its proper divisors (5047447968).

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

2068377840 is a wasteful number, since it uses less digits than its factorization.

2068377840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70127 (or 70118 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2068377840 is about 45479.4221599176. The cubic root of 2068377840 is about 1274.1189022087.

The spelling of 2068377840 in words is "two billion, sixty-eight million, three hundred seventy-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 70067 140134 210201 280268 350335 420402 560536 630603 700670 840804 1051005 1121072 1261206 1401340 1681608 2102010 2522412 2802680 2872747 3153015 3363216 4204020 5044824 5605360 5745494 6306030 8408040 8618241 10089648 11490988 12612060 14363735 16816080 17236482 22981976 25224120 25854723 28727470 34472964 43091205 45963952 50448240 51709446 57454940 68945928 86182410 103418892 114909880 129273615 137891856 172364820 206837784 229819760 258547230 344729640 413675568 517094460 689459280 1034188920 2068377840