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2019709640 = 2351329671999
BaseRepresentation
bin111100001100010…
…0101001011001000
312012202102212202202
41320120211023020
513114021202030
6532225215332
7101023151204
oct17030451310
95182385682
102019709640
11947089823
12484491548
13262588580
14152349b04
15bc4a7745
hex786252c8

2019709640 has 128 divisors (see below), whose sum is σ = 5140800000. Its totient is φ = 708922368.

The previous prime is 2019709607. The next prime is 2019709717. The reversal of 2019709640 is 469079102.

It is a junction number, because it is equal to n+sod(n) for n = 2019709594 and 2019709603.

It is an unprimeable number.

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, 1009361 + ... + 1011359.

It is an arithmetic number, because the mean of its divisors is an integer number (40162500).

Almost surely, 22019709640 is an apocalyptic number.

2019709640 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 2019709640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400000).

2019709640 is an abundant number, since it is smaller than the sum of its proper divisors (3121090360).

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

2019709640 is a wasteful number, since it uses less digits than its factorization.

2019709640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 2019709640 is about 44941.1797797966. The cubic root of 2019709640 is about 1264.0462933026.

The spelling of 2019709640 in words is "two billion, nineteen million, seven hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 67 104 116 130 134 145 232 260 268 290 335 377 520 536 580 670 754 871 1160 1340 1508 1742 1885 1943 1999 2680 3016 3484 3770 3886 3998 4355 6968 7540 7772 7996 8710 9715 9995 15080 15544 15992 17420 19430 19990 25259 25987 34840 38860 39980 50518 51974 57971 77720 79960 101036 103948 115942 126295 129935 133933 202072 207896 231884 252590 259870 267866 289855 463768 505180 519740 535732 579710 669665 753623 1010360 1039480 1071464 1159420 1339330 1507246 1741129 2318840 2678660 3014492 3482258 3768115 3884057 5357320 6028984 6964516 7536230 7768114 8705645 13929032 15072460 15536228 17411290 19420285 30144920 31072456 34822580 38840570 50492741 69645160 77681140 100985482 155362280 201970964 252463705 403941928 504927410 1009854820 2019709640