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4540683120 = 2435294491453
BaseRepresentation
bin1000011101010010…
…10101001101110000
3102201110002121020220
410032221111031300
533244403324440
62030322333040
7220344112131
oct41651251560
912643077226
104540683120
111a20108486
12a687ba180
1357494c25c
14311099c88
151b89778d0
hex10ea55370

4540683120 has 160 divisors (see below), whose sum is σ = 14603976000. Its totient is φ = 1165688832.

The previous prime is 4540683101. The next prime is 4540683127. The reversal of 4540683120 is 213860454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4540683127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3124314 + ... + 3125766.

It is an arithmetic number, because the mean of its divisors is an integer number (91274850).

Almost surely, 24540683120 is an apocalyptic number.

4540683120 is a gapful number since it is divisible by the number (40) 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 4540683120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301988000).

4540683120 is an abundant number, since it is smaller than the sum of its proper divisors (10063292880).

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

4540683120 is a wasteful number, since it uses less digits than its factorization.

4540683120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4540683120 is about 67384.5911169609. The cubic root of 4540683120 is about 1655.9239912370.

The spelling of 4540683120 in words is "four billion, five hundred forty million, six hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 449 464 580 696 870 898 1160 1347 1392 1453 1740 1796 2245 2320 2694 2906 3480 3592 4359 4490 5388 5812 6735 6960 7184 7265 8718 8980 10776 11624 13021 13470 14530 17436 17960 21552 21795 23248 26042 26940 29060 34872 35920 39063 42137 43590 52084 53880 58120 65105 69744 78126 84274 87180 104168 107760 116240 126411 130210 156252 168548 174360 195315 208336 210685 252822 260420 312504 337096 348720 390630 421370 505644 520840 625008 632055 652397 674192 781260 842740 1011288 1041680 1264110 1304794 1562520 1685480 1957191 2022576 2528220 2609588 3125040 3261985 3370960 3914382 5056440 5219176 6523970 7828764 9785955 10112880 10438352 13047940 15657528 18919513 19571910 26095880 31315056 37839026 39143820 52191760 56758539 75678052 78287640 94597565 113517078 151356104 156575280 189195130 227034156 283792695 302712208 378390260 454068312 567585390 756780520 908136624 1135170780 1513561040 2270341560 4540683120