Search a number
-
+
1997750560 = 255132341759
BaseRepresentation
bin111011100010011…
…0100000100100000
312011020010020120111
41313010310010200
513042411004220
6530122421104
7100335412441
oct16704640440
95136106514
101997750560
11935750623
12479061794
1325ab6a530
1414d4712c8
15ba5bb15a
hex77134120

1997750560 has 96 divisors (see below), whose sum is σ = 5303854080. Its totient is φ = 705543168.

The previous prime is 1997750507. The next prime is 1997750567. The reversal of 1997750560 is 650577991.

It is not an unprimeable number, because it can be changed into a prime (1997750567) 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, 26961 + ... + 68719.

It is an arithmetic number, because the mean of its divisors is an integer number (55248480).

Almost surely, 21997750560 is an apocalyptic number.

1997750560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651927040).

1997750560 is an abundant number, since it is smaller than the sum of its proper divisors (3306103520).

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

1997750560 is a wasteful number, since it uses less digits than its factorization.

1997750560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41810 (or 41802 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 49.

The square root of 1997750560 is about 44696.2029707222. The cubic root of 1997750560 is about 1259.4485198948.

The spelling of 1997750560 in words is "one billion, nine hundred ninety-seven million, seven hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2990 3680 4784 5980 9568 11960 23920 41759 47840 83518 167036 208795 334072 417590 542867 668144 835180 960457 1085734 1336288 1670360 1920914 2171468 2714335 3340720 3841828 4342936 4802285 5428670 6681440 7683656 8685872 9604570 10857340 12485941 15367312 17371744 19209140 21714680 24971882 30734624 38418280 43429360 49943764 62429705 76836560 86858720 99887528 124859410 153673120 199775056 249718820 399550112 499437640 998875280 1997750560