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5040135240 = 2335747127663
BaseRepresentation
bin1001011000110101…
…00101110001001000
3111000020220101202120
410230122211301020
540310233311430
62152043331240
7235620304560
oct45432456110
914006811676
105040135240
112157030228
12b87b20b20
13624271b5a
1435b54bda0
151e7733610
hex12c6a5c48

5040135240 has 128 divisors (see below), whose sum is σ = 17648271360. Its totient is φ = 1127510784.

The previous prime is 5040135209. The next prime is 5040135319. The reversal of 5040135240 is 425310405.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5040135240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24352 + ... + 103311.

It is an arithmetic number, because the mean of its divisors is an integer number (137877120).

Almost surely, 25040135240 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 5040135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824135680).

5040135240 is an abundant number, since it is smaller than the sum of its proper divisors (12608136120).

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

5040135240 is a wasteful number, since it uses less digits than its factorization.

5040135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127731 (or 127727 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5040135240 is about 70993.9098796509. The cubic root of 5040135240 is about 1714.5391117882.

Adding to 5040135240 its reverse (425310405), we get a palindrome (5465445645).

The spelling of 5040135240 in words is "five billion, forty million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 127663 255326 382989 510652 638315 765978 893641 1021304 1276630 1531956 1787282 1914945 2553260 2680923 3063912 3574564 3829890 4468205 5106520 5361846 6000161 7149128 7659780 8936410 10723692 12000322 13404615 15319560 17872820 18000483 21447384 24000644 26809230 30000805 35745640 36000966 42001127 48001288 53618460 60001610 72001932 84002254 90002415 107236920 120003220 126003381 144003864 168004508 180004830 210005635 240006440 252006762 336009016 360009660 420011270 504013524 630016905 720019320 840022540 1008027048 1260033810 1680045080 2520067620 5040135240