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5830711040 = 28571159159
BaseRepresentation
bin1010110111000100…
…11001011100000000
3120001100111210212202
411123202121130000
543420130223130
62402324212332
7264330140360
oct53342313400
916040453782
105830711040
112522314560
12116883a0a8
1371bca529b
143d45429a0
15241d48145
hex15b899700

5830711040 has 144 divisors (see below), whose sum is σ = 17412917760. Its totient is φ = 1817333760.

The previous prime is 5830711027. The next prime is 5830711057. The reversal of 5830711040 is 401170385.

It is a junction number, because it is equal to n+sod(n) for n = 5830710994 and 5830711012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68981 + ... + 128139.

It is an arithmetic number, because the mean of its divisors is an integer number (120923040).

Almost surely, 25830711040 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 5830711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706458880).

5830711040 is an abundant number, since it is smaller than the sum of its proper divisors (11582206720).

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

5830711040 is a wasteful number, since it uses less digits than its factorization.

5830711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59198 (or 59184 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 5830711040 is about 76359.0927133108. The cubic root of 5830711040 is about 1799.8673811758.

The spelling of 5830711040 in words is "five billion, eight hundred thirty million, seven hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2816 3080 3520 4480 4928 6160 7040 8960 9856 12320 14080 19712 24640 49280 59159 98560 118318 236636 295795 414113 473272 591590 650749 828226 946544 1183180 1301498 1656452 1893088 2070565 2366360 2602996 3253745 3312904 3786176 4141130 4555243 4732720 5205992 6507490 6625808 7572352 8282260 9110486 9465440 10411984 13014980 13251616 15144704 16564520 18220972 18930880 20823968 22776215 26029960 26503232 33129040 36441944 37861760 41647936 45552430 52059920 53006464 66258080 72883888 75723520 83295872 91104860 104119840 106012928 132516160 145767776 166591744 182209720 208239680 265032320 291535552 364419440 416479360 530064640 583071104 728838880 832958720 1166142208 1457677760 2915355520 5830711040