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5700701440 = 28574713537
BaseRepresentation
bin1010100111100100…
…11100110100000000
3112201021212122020101
411103302130310000
543133334421230
62341401452144
7261161106550
oct52362346400
915637778211
105700701440
112465996405
1211311a1054
136cb085325
143c117d160
15235716aca
hex153c9cd00

5700701440 has 144 divisors (see below), whose sum is σ = 15938883072. Its totient is φ = 1912799232.

The previous prime is 5700701437. The next prime is 5700701449. The reversal of 5700701440 is 441070075.

It is a super-3 number, since 3×57007014403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5700701399 and 5700701408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5700701449) 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, 414352 + ... + 427888.

It is an arithmetic number, because the mean of its divisors is an integer number (110686688).

Almost surely, 25700701440 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 5700701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969441536).

5700701440 is an abundant number, since it is smaller than the sum of its proper divisors (10238181632).

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

5700701440 is a wasteful number, since it uses less digits than its factorization.

5700701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13612 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 5700701440 is about 75502.9896096837. The cubic root of 5700701440 is about 1786.3892591754.

The spelling of 5700701440 in words is "five billion, seven hundred million, seven hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 320 329 376 448 470 560 640 658 752 896 940 1120 1280 1316 1504 1645 1792 1880 2240 2632 3008 3290 3760 4480 5264 6016 6580 7520 8960 10528 12032 13160 13537 15040 21056 26320 27074 30080 42112 52640 54148 60160 67685 84224 94759 105280 108296 135370 189518 210560 216592 270740 379036 421120 433184 473795 541480 636239 758072 866368 947590 1082960 1272478 1516144 1732736 1895180 2165920 2544956 3032288 3181195 3465472 3790360 4331840 4453673 5089912 6064576 6362390 7580720 8663680 8907346 10179824 12129152 12724780 15161440 17327360 17814692 20359648 22268365 24258304 25449560 30322880 35629384 40719296 44536730 50899120 60645760 71258768 81438592 89073460 101798240 121291520 142517536 162877184 178146920 203596480 285035072 356293840 407192960 570070144 712587680 814385920 1140140288 1425175360 2850350720 5700701440