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5770508040 = 2334511161911
BaseRepresentation
bin1010101111111001…
…01111011100001000
3112220011020011220000
411113330233130020
543304222224130
62352334003000
7262666336413
oct52774573410
915804204800
105770508040
1124a1335110
121150646460
1370c686acb
143ca550b7a
1523b905260
hex157f2f708

5770508040 has 160 divisors (see below), whose sum is σ = 21158660160. Its totient is φ = 1398902400.

The previous prime is 5770508027. The next prime is 5770508047. The reversal of 5770508040 is 408050775.

5770508040 is a `hidden beast` number, since 577 + 0 + 5 + 0 + 80 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5770507986 and 5770508004.

It is not an unprimeable number, because it can be changed into a prime (5770508047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45316 + ... + 116595.

It is an arithmetic number, because the mean of its divisors is an integer number (132241626).

Almost surely, 25770508040 is an apocalyptic number.

It is an amenable number.

5770508040 is an abundant number, since it is smaller than the sum of its proper divisors (15388152120).

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

5770508040 is a wasteful number, since it uses less digits than its factorization.

5770508040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161945 (or 161932 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5770508040 is about 75963.8600914935. The cubic root of 5770508040 is about 1793.6513007808.

The spelling of 5770508040 in words is "five billion, seven hundred seventy million, five hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 161911 323822 485733 647644 809555 971466 1295288 1457199 1619110 1781021 1942932 2428665 2914398 3238220 3562042 3885864 4371597 4857330 5343063 5828796 6476440 7124084 7285995 8743194 8905105 9714660 10686126 11657592 13114791 14248168 14571990 16029189 17486388 17810210 19429320 21372252 21857985 26229582 26715315 29143980 32058378 34972776 35620420 42744504 43715970 48087567 52459164 53430630 58287960 64116756 65573955 71240840 80145945 87431940 96175134 104918328 106861260 128233512 131147910 144262701 160291890 174863880 192350268 213722520 240437835 262295820 288525402 320583780 384700536 480875670 524591640 577050804 641167560 721313505 961751340 1154101608 1442627010 1923502680 2885254020 5770508040