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1640470140 = 2232547211919
BaseRepresentation
bin110000111000111…
…1001011001111100
311020022211111222100
41201301321121330
511324430021030
6430440545100
755436523531
oct14161713174
94208744870
101640470140
11772003551
12399482190
13201b355ba
14117c2ad88
1599045360
hex61c7967c

1640470140 has 144 divisors (see below), whose sum is σ = 5111608320. Its totient is φ = 425658240.

The previous prime is 1640470087. The next prime is 1640470141. The reversal of 1640470140 is 410740461.

1640470140 is a `hidden beast` number, since 1 + 640 + 4 + 7 + 0 + 14 + 0 = 666.

It is a super-2 number, since 2×16404701402 = 5382284560463239200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640470141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1784601 + ... + 1785519.

It is an arithmetic number, because the mean of its divisors is an integer number (35497280).

Almost surely, 21640470140 is an apocalyptic number.

1640470140 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 1640470140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555804160).

1640470140 is an abundant number, since it is smaller than the sum of its proper divisors (3471138180).

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

1640470140 is a wasteful number, since it uses less digits than its factorization.

1640470140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1640470140 is about 40502.7176865948. The cubic root of 1640470140 is about 1179.3863849799.

The spelling of 1640470140 in words is "one billion, six hundred forty million, four hundred seventy thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 211 235 282 422 423 470 564 633 705 844 846 919 940 1055 1266 1410 1692 1838 1899 2110 2115 2532 2757 2820 3165 3676 3798 4220 4230 4595 5514 6330 7596 8271 8460 9190 9495 9917 11028 12660 13785 16542 18380 18990 19834 27570 29751 33084 37980 39668 41355 43193 49585 55140 59502 82710 86386 89253 99170 119004 129579 148755 165420 172772 178506 193909 198340 215965 259158 297510 357012 387818 388737 431930 446265 518316 581727 595020 647895 775636 777474 863860 892530 969545 1163454 1295790 1554948 1745181 1785060 1939090 1943685 2326908 2591580 2908635 3490362 3878180 3887370 5817270 6980724 7774740 8725905 9113723 11634540 17451810 18227446 27341169 34903620 36454892 45568615 54682338 82023507 91137230 109364676 136705845 164047014 182274460 273411690 328094028 410117535 546823380 820235070 1640470140