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1979051940 = 223451771861
BaseRepresentation
bin111010111110101…
…1110111110100100
312002220221020220000
41311331132332210
513023114130230
6524213541300
7100020443505
oct16575367644
95086836800
101979051940
1192613a018
12472944830
13257021568
1414aba4bac
15b8b25b60
hex75f5efa4

1979051940 has 120 divisors (see below), whose sum is σ = 6573648312. Its totient is φ = 496696320.

The previous prime is 1979051933. The next prime is 1979051947. The reversal of 1979051940 is 491509791.

1979051940 is a `hidden beast` number, since 1 + 9 + 7 + 90 + 519 + 40 = 666.

1979051940 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1979051933) and next prime (1979051947).

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 1959124644 = 4464^2 + 44262^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1979051947) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8391 + ... + 63470.

Almost surely, 21979051940 is an apocalyptic number.

1979051940 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 1979051940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286824156).

1979051940 is an abundant number, since it is smaller than the sum of its proper divisors (4594596372).

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

1979051940 is a wasteful number, since it uses less digits than its factorization.

1979051940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71899 (or 71888 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 1979051940 is about 44486.5366150254. The cubic root of 1979051940 is about 1255.5067851622.

The spelling of 1979051940 in words is "one billion, nine hundred seventy-nine million, fifty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 13770 27540 71861 143722 215583 287444 359305 431166 646749 718610 862332 1077915 1221637 1293498 1437220 1940247 2155830 2443274 2586996 3233745 3664911 3880494 4311660 4886548 5820741 6108185 6467490 7329822 7760988 9701235 10994733 11641482 12216370 12934980 14659644 18324555 19402470 21989466 23282964 24432740 29103705 32984199 36649110 38804940 43978932 54973665 58207410 65968398 73298220 98952597 109947330 116414820 131936796 164920995 197905194 219894660 329841990 395810388 494762985 659683980 989525970 1979051940