Search a number
-
+
5977100080 = 2457311392477
BaseRepresentation
bin1011001000100001…
…10100111100110000
3120102112222010220001
411210100310330300
544220114200310
62425033555344
7301055340520
oct54420647460
916375863801
105977100080
112597a0a836
1211a9875b54
1374340b713
14409b6b680
1524eb1293a
hex164434f30

5977100080 has 160 divisors (see below), whose sum is σ = 16518942720. Its totient is φ = 1968122880.

The previous prime is 5977100029. The next prime is 5977100099. The reversal of 5977100080 is 800017795.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2411802 + ... + 2414278.

It is an arithmetic number, because the mean of its divisors is an integer number (103243392).

Almost surely, 25977100080 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 5977100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259471360).

5977100080 is an abundant number, since it is smaller than the sum of its proper divisors (10541842640).

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

5977100080 is a wasteful number, since it uses less digits than its factorization.

5977100080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The square root of 5977100080 is about 77311.7072635186. The cubic root of 5977100080 is about 1814.8058723786.

The spelling of 5977100080 in words is "five billion, nine hundred seventy-seven million, one hundred thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 139 140 155 217 248 278 280 310 434 496 556 560 620 695 868 973 1085 1112 1240 1390 1736 1946 2170 2224 2477 2480 2780 3472 3892 4309 4340 4865 4954 5560 7784 8618 8680 9730 9908 11120 12385 15568 17236 17339 17360 19460 19816 21545 24770 30163 34472 34678 38920 39632 43090 49540 60326 68944 69356 76787 77840 86180 86695 99080 120652 138712 150815 153574 172360 173390 198160 241304 277424 301630 307148 344303 344720 346780 383935 482608 537509 603260 614296 688606 693560 767870 1075018 1206520 1228592 1377212 1387120 1535740 1721515 2150036 2410121 2413040 2687545 2754424 3071480 3443030 4300072 4820242 5375090 5508848 6142960 6886060 8600144 9640484 10673393 10750180 12050605 13772120 19280968 21346786 21500360 24101210 27544240 38561936 42693572 43000720 48202420 53366965 74713751 85387144 96404840 106733930 149427502 170774288 192809680 213467860 298855004 373568755 426935720 597710008 747137510 853871440 1195420016 1494275020 2988550040 5977100080