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4000000080 = 2435197391187
BaseRepresentation
bin1110111001101011…
…0010100001010000
3101022202201001120010
43232122302201100
531143000000310
61500525514520
7201060303546
oct35632624120
911282631503
104000000080
11177299429a
12937712a40
134b992176b
1429d353d96
15186275320
hexee6b2850

4000000080 has 160 divisors (see below), whose sum is σ = 13081305600. Its totient is φ = 1008308736.

The previous prime is 4000000063. The next prime is 4000000133. The reversal of 4000000080 is 800000004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 3369247 + ... + 3370433.

It is an arithmetic number, because the mean of its divisors is an integer number (81758160).

Almost surely, 24000000080 is an apocalyptic number.

4000000080 is a gapful number since it is divisible by the number (40) 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 4000000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540652800).

4000000080 is an abundant number, since it is smaller than the sum of its proper divisors (9081305520).

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

4000000080 is a wasteful number, since it uses less digits than its factorization.

4000000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4000000080 is about 63245.5538358231. The cubic root of 4000000080 is about 1587.4010625509.

Adding to 4000000080 its reverse (800000004), we get a palindrome (4800000084).

The spelling of 4000000080 in words is "four billion, eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 739 760 912 1140 1187 1478 1520 2217 2280 2374 2956 3561 3695 4434 4560 4748 5912 5935 7122 7390 8868 9496 11085 11824 11870 14041 14244 14780 17736 17805 18992 22170 22553 23740 28082 28488 29560 35472 35610 42123 44340 45106 47480 56164 56976 59120 67659 70205 71220 84246 88680 90212 94960 112328 112765 135318 140410 142440 168492 177360 180424 210615 224656 225530 270636 280820 284880 336984 338295 360848 421230 451060 541272 561640 673968 676590 842460 877193 902120 1082544 1123280 1353180 1684920 1754386 1804240 2631579 2706360 3369840 3508772 4385965 5263158 5412720 7017544 8771930 10526316 13157895 14035088 16666667 17543860 21052632 26315790 33333334 35087720 42105264 50000001 52631580 66666668 70175440 83333335 100000002 105263160 133333336 166666670 200000004 210526320 250000005 266666672 333333340 400000008 500000010 666666680 800000016 1000000020 1333333360 2000000040 4000000080