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124041540 = 223572311361
BaseRepresentation
bin1110110010010…
…11100101000100
322122101222000010
413121023211010
5223223312130
620150350220
73034223100
oct731134504
9278358003
10124041540
1164022277
123565b370
131c91067c
141268c900
15ad530b0
hex764b944

124041540 has 144 divisors (see below), whose sum is σ = 417360384. Its totient is φ = 27417600.

The previous prime is 124041529. The next prime is 124041551. The reversal of 124041540 is 45140421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (124041529) and next prime (124041551).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 90460 + ... + 91820.

It is an arithmetic number, because the mean of its divisors is an integer number (2898336).

Almost surely, 2124041540 is an apocalyptic number.

124041540 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 124041540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208680192).

124041540 is an abundant number, since it is smaller than the sum of its proper divisors (293318844).

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

124041540 is a wasteful number, since it uses less digits than its factorization.

124041540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 124041540 is about 11137.3937705372. The cubic root of 124041540 is about 498.7187730526.

Adding to 124041540 its reverse (45140421), we get a palindrome (169181961).

The spelling of 124041540 in words is "one hundred twenty-four million, forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 140 147 155 186 196 210 217 245 294 310 372 420 434 465 490 588 620 651 735 868 930 980 1085 1302 1361 1470 1519 1860 2170 2604 2722 2940 3038 3255 4083 4340 4557 5444 6076 6510 6805 7595 8166 9114 9527 13020 13610 15190 16332 18228 19054 20415 22785 27220 28581 30380 38108 40830 42191 45570 47635 57162 66689 81660 84382 91140 95270 114324 126573 133378 142905 168764 190540 200067 210955 253146 266756 285810 295337 333445 400134 421910 506292 571620 590674 632865 666890 800268 843820 886011 1000335 1181348 1265730 1333780 1476685 1772022 2000670 2067359 2531460 2953370 3544044 4001340 4134718 4430055 5906740 6202077 8269436 8860110 10336795 12404154 17720220 20673590 24808308 31010385 41347180 62020770 124041540