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1720490640 = 2435112332797
BaseRepresentation
bin110011010001100…
…1001101010010000
311102220101222110120
41212203021222100
512010421200030
6442420030240
760430633461
oct14643115220
94386358416
101720490640
118031990a0
12400232380
132155a20cb
141246dad68
15a10a0010
hex668c9a90

1720490640 has 160 divisors (see below), whose sum is σ = 5845447296. Its totient is φ = 415150080.

The previous prime is 1720490617. The next prime is 1720490647. The reversal of 1720490640 is 460940271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1720490647) 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, 613722 + ... + 616518.

Almost surely, 21720490640 is an apocalyptic number.

1720490640 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 1720490640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922723648).

1720490640 is an abundant number, since it is smaller than the sum of its proper divisors (4124956656).

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

1720490640 is a wasteful number, since it uses less digits than its factorization.

1720490640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1720490640 is about 41478.7974753367. The cubic root of 1720490640 is about 1198.2591981174.

The spelling of 1720490640 in words is "one billion, seven hundred twenty million, four hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 233 240 264 330 440 466 528 660 699 880 932 1165 1320 1398 1864 2330 2563 2640 2796 2797 3495 3728 4660 5126 5592 5594 6990 7689 8391 9320 10252 11184 11188 12815 13980 13985 15378 16782 18640 20504 22376 25630 27960 27970 30756 30767 33564 38445 41008 41955 44752 51260 55920 55940 61512 61534 67128 76890 83910 92301 102520 111880 123024 123068 134256 153780 153835 167820 184602 205040 223760 246136 307560 307670 335640 369204 461505 492272 615120 615340 651701 671280 738408 923010 1230680 1303402 1476816 1846020 1955103 2461360 2606804 3258505 3692040 3910206 5213608 6517010 7168711 7384080 7820412 9775515 10427216 13034020 14337422 15640824 19551030 21506133 26068040 28674844 31281648 35843555 39102060 43012266 52136080 57349688 71687110 78204120 86024532 107530665 114699376 143374220 156408240 172049064 215061330 286748440 344098128 430122660 573496880 860245320 1720490640