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5923991040 = 29351170123
BaseRepresentation
bin1011000010001100…
…01110111000000000
3120021212000220222120
411201012032320000
544113020203130
62415455404240
7266542043622
oct54106167000
916255026876
105923991040
11256aa36170
121193b23680
13735405156
14402aa4c12
1524a121910
hex16118ee00

5923991040 has 160 divisors (see below), whose sum is σ = 20660213376. Its totient is φ = 1436098560.

The previous prime is 5923991009. The next prime is 5923991041. The reversal of 5923991040 is 401993295.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 5923990983 and 5923991001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5923991041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49419 + ... + 119541.

Almost surely, 25923991040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5923991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330106688).

5923991040 is an abundant number, since it is smaller than the sum of its proper divisors (14736222336).

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

5923991040 is a wasteful number, since it uses less digits than its factorization.

5923991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70160 (or 70144 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 5923991040 is about 76967.4674131870. The cubic root of 5923991040 is about 1809.4147696402.

The spelling of 5923991040 in words is "five billion, nine hundred twenty-three million, nine hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 70123 84480 140246 210369 280492 350615 420738 560984 701230 771353 841476 1051845 1121968 1402460 1542706 1682952 2103690 2243936 2314059 2804920 3085412 3365904 3856765 4207380 4487872 4628118 5609840 6170824 6731808 7713530 8414760 8975744 9256236 11219680 11570295 12341648 13463616 15427060 16829520 17951488 18512472 22439360 23140590 24683296 26927232 30854120 33659040 35902976 37024944 44878720 46281180 49366592 53854464 61708240 67318080 74049888 89757440 92562360 98733184 107708928 123416480 134636160 148099776 179514880 185124720 197466368 246832960 269272320 296199552 370249440 394932736 493665920 538544640 592399104 740498880 987331840 1184798208 1480997760 1974663680 2961995520 5923991040