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4060820880 = 243259975657
BaseRepresentation
bin1111001000001011…
…0011010110010000
3101111000011002000100
43302002303112100
531304032232010
61510541252400
7202426256634
oct36202632620
911430132010
104060820880
1117a4255916
12953b64100
134c93c81bc
142a7466dc4
1518b78b2c0
hexf20b3590

4060820880 has 120 divisors (see below), whose sum is σ = 13653681912. Its totient is φ = 1081608192.

The previous prime is 4060820873. The next prime is 4060820887. The reversal of 4060820880 is 880280604.

4060820880 is a `hidden beast` number, since 40 + 608 + 2 + 0 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4060820873) and next prime (4060820887).

It can be written as a sum of positive squares in 4 ways, for example, as 334450944 + 3726369936 = 18288^2 + 61044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4060820887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715012 + ... + 720668.

Almost surely, 24060820880 is an apocalyptic number.

4060820880 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 4060820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826840956).

4060820880 is an abundant number, since it is smaller than the sum of its proper divisors (9592861032).

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

4060820880 is a wasteful number, since it uses less digits than its factorization.

4060820880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4060820880 is about 63724.5704575559. The cubic root of 4060820880 is about 1595.4062087154.

The spelling of 4060820880 in words is "four billion, sixty million, eight hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 997 1994 2991 3988 4985 5657 5982 7976 8973 9970 11314 11964 14955 15952 16971 17946 19940 22628 23928 28285 29910 33942 35892 39880 44865 45256 47856 50913 56570 59820 67884 71784 79760 84855 89730 90512 101826 113140 119640 135768 143568 169710 179460 203652 226280 239280 254565 271536 339420 358920 407304 452560 509130 678840 717840 814608 1018260 1357680 2036520 4073040 5640029 11280058 16920087 22560116 28200145 33840174 45120232 50760261 56400290 67680348 84600435 90240464 101520522 112800580 135360696 169200870 203041044 225601160 253801305 270721392 338401740 406082088 451202320 507602610 676803480 812164176 1015205220 1353606960 2030410440 4060820880