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1720268940 = 2235137131063
BaseRepresentation
bin110011010001001…
…0011100010001100
311102212222201100110
41212202103202030
512010342101230
6442411200020
760426021225
oct14642234214
94385881313
101720268940
11803057575
12400146010
13215525220
1412468024c
15a10594b0
hex6689388c

1720268940 has 96 divisors (see below), whose sum is σ = 5260502016. Its totient is φ = 417473280.

The previous prime is 1720268917. The next prime is 1720268941. The reversal of 1720268940 is 498620271.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1720268941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39849 + ... + 70911.

It is an arithmetic number, because the mean of its divisors is an integer number (54796896).

Almost surely, 21720268940 is an apocalyptic number.

1720268940 is a gapful number since it is divisible by the number (10) 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 1720268940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630251008).

1720268940 is an abundant number, since it is smaller than the sum of its proper divisors (3540233076).

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

1720268940 is a wasteful number, since it uses less digits than its factorization.

1720268940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31159 (or 31157 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1720268940 is about 41476.1249395360. The cubic root of 1720268940 is about 1198.2077272424.

The spelling of 1720268940 in words is "one billion, seven hundred twenty million, two hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 390 426 710 780 852 923 1065 1420 1846 2130 2769 3692 4260 4615 5538 9230 11076 13845 18460 27690 31063 55380 62126 93189 124252 155315 186378 310630 372756 403819 465945 621260 807638 931890 1211457 1615276 1863780 2019095 2205473 2422914 4038190 4410946 4845828 6057285 6616419 8076380 8821892 11027365 12114570 13232838 22054730 24229140 26465676 28671149 33082095 44109460 57342298 66164190 86013447 114684596 132328380 143355745 172026894 286711490 344053788 430067235 573422980 860134470 1720268940