Search a number
-
+
2870404080 = 2435311931999
BaseRepresentation
bin1010101100010110…
…1110001111110000
321102001011122011020
42223011232033300
521334310412310
61152454415440
7131063014005
oct25305561760
97361148136
102870404080
1112432a5085
12681361580
133698aa96b
141d330d8ac
1511bee5170
hexab16e3f0

2870404080 has 160 divisors (see below), whose sum is σ = 9237504000. Its totient is φ = 736542720.

The previous prime is 2870404067. The next prime is 2870404139. The reversal of 2870404080 is 804040782.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434921 + ... + 1436919.

It is an arithmetic number, because the mean of its divisors is an integer number (57734400).

Almost surely, 22870404080 is an apocalyptic number.

2870404080 is a gapful number since it is divisible by the number (20) 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 2870404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618752000).

2870404080 is an abundant number, since it is smaller than the sum of its proper divisors (6367099920).

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

2870404080 is a wasteful number, since it uses less digits than its factorization.

2870404080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2870404080 is about 53576.1521574665. The cubic root of 2870404080 is about 1421.1753939313.

The spelling of 2870404080 in words is "two billion, eight hundred seventy million, four hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 193 240 248 310 372 386 465 496 579 620 744 772 930 965 1158 1240 1488 1544 1860 1930 1999 2316 2480 2895 3088 3720 3860 3998 4632 5790 5983 5997 7440 7720 7996 9264 9995 11580 11966 11994 15440 15992 17949 19990 23160 23932 23988 29915 29985 31984 35898 39980 46320 47864 47976 59830 59970 61969 71796 79960 89745 95728 95952 119660 119940 123938 143592 159920 179490 185907 239320 239880 247876 287184 309845 358980 371814 385807 478640 479760 495752 619690 717960 743628 771614 929535 991504 1157421 1239380 1435920 1487256 1543228 1859070 1929035 2314842 2478760 2974512 3086456 3718140 3858070 4629684 4957520 5787105 6172912 7436280 7716140 9259368 11574210 11960017 14872560 15432280 18518736 23148420 23920034 30864560 35880051 46296840 47840068 59800085 71760102 92593680 95680136 119600170 143520204 179400255 191360272 239200340 287040408 358800510 478400680 574080816 717601020 956801360 1435202040 2870404080