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5003415240 = 2335296412243
BaseRepresentation
bin1001010100011101…
…00000111011001000
3110220200210211101120
410222032200323020
540221333241430
62144252315240
7234663220305
oct45216407310
913820724346
105003415240
11213832aa1a
12b77772b20
13619786245
143567100ac
151e43cd610
hex12a3a0ec8

5003415240 has 128 divisors (see below), whose sum is σ = 15558998400. Its totient is φ = 1285652480.

The previous prime is 5003415229. The next prime is 5003415247. The reversal of 5003415240 is 425143005.

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 5003415240.

It is not an unprimeable number, because it can be changed into a prime (5003415247) 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, 2229559 + ... + 2231801.

It is an arithmetic number, because the mean of its divisors is an integer number (121554675).

Almost surely, 25003415240 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 5003415240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779499200).

5003415240 is an abundant number, since it is smaller than the sum of its proper divisors (10555583160).

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

5003415240 is a wasteful number, since it uses less digits than its factorization.

5003415240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2923 counting only the distinct ones).

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

The square root of 5003415240 is about 70734.8233898976. The cubic root of 5003415240 is about 1710.3651899497.

Adding to 5003415240 its reverse (425143005), we get a palindrome (5428558245).

The spelling of 5003415240 in words is "five billion, three million, four hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 641 696 870 1160 1282 1740 1923 2243 2564 3205 3480 3846 4486 5128 6410 6729 7692 8972 9615 11215 12820 13458 15384 17944 18589 19230 22430 25640 26916 33645 37178 38460 44860 53832 55767 65047 67290 74356 76920 89720 92945 111534 130094 134580 148712 185890 195141 223068 260188 269160 278835 325235 371780 390282 446136 520376 557670 650470 743560 780564 975705 1115340 1300940 1437763 1561128 1951410 2230680 2601880 2875526 3902820 4313289 5751052 7188815 7805640 8626578 11502104 14377630 17253156 21566445 28755260 34506312 41695127 43132890 57510520 83390254 86265780 125085381 166780508 172531560 208475635 250170762 333561016 416951270 500341524 625426905 833902540 1000683048 1250853810 1667805080 2501707620 5003415240