Search a number
-
+
7990956540 = 22325719333791
BaseRepresentation
bin1110111000100110…
…00101000111111100
3202121220101122121100
413130103011013330
5112331141102130
63400533533100
7402011003250
oct73423050774
922556348540
107990956540
113430760a16
1216701a4190
139a46c7a68
1455b3d2260
1531b810c60
hex1dc4c51fc

7990956540 has 144 divisors (see below), whose sum is σ = 29160069120. Its totient is φ = 1730367360.

The previous prime is 7990956529. The next prime is 7990956541. The reversal of 7990956540 is 456590997.

7990956540 is a `hidden beast` number, since 7 + 9 + 9 + 0 + 95 + 6 + 540 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7990956541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142956 + ... + 190835.

It is an arithmetic number, because the mean of its divisors is an integer number (202500480).

Almost surely, 27990956540 is an apocalyptic number.

7990956540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7990956540 is an abundant number, since it is smaller than the sum of its proper divisors (21169112580).

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

7990956540 is a wasteful number, since it uses less digits than its factorization.

7990956540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333832 (or 333827 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 7990956540 is about 89392.1503265248. The cubic root of 7990956540 is about 1999.2460941821.

The spelling of 7990956540 in words is "seven billion, nine hundred ninety million, nine hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 333791 667582 1001373 1335164 1668955 2002746 2336537 3004119 3337910 4005492 4673074 5006865 6008238 6342029 6675820 7009611 9346148 10013730 11682685 12016476 12684058 14019222 15020595 19026087 20027460 21028833 23365370 25368116 28038444 30041190 31710145 35048055 38052174 42057666 44394203 46730740 57078261 60082380 63420290 70096110 76104348 84115332 88788406 95130435 105144165 114156522 126840580 133182609 140192220 177576812 190260870 210288330 221971015 228313044 266365218 285391305 380521740 399547827 420576660 443942030 532730436 570782610 665913045 799095654 887884060 1141565220 1331826090 1598191308 1997739135 2663652180 3995478270 7990956540