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4066020640 = 2551121110949
BaseRepresentation
bin1111001001011010…
…1000110100100000
3101111100221020202001
43302112220310200
531311400130030
61511244533344
7202521414403
oct36226506440
911440836661
104066020640
1117a7187540
12955851254
134ca4c8b96
142a801bd3a
1518be66cca
hexf25a8d20

4066020640 has 96 divisors (see below), whose sum is σ = 10529870400. Its totient is φ = 1471411200.

The previous prime is 4066020601. The next prime is 4066020641. The reversal of 4066020640 is 460206604.

It is a junction number, because it is equal to n+sod(n) for n = 4066020599 and 4066020608.

It is not an unprimeable number, because it can be changed into a prime (4066020641) 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, 365886 + ... + 376834.

It is an arithmetic number, because the mean of its divisors is an integer number (109686150).

Almost surely, 24066020640 is an apocalyptic number.

4066020640 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 4066020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264935200).

4066020640 is an abundant number, since it is smaller than the sum of its proper divisors (6463849760).

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

4066020640 is a wasteful number, since it uses less digits than its factorization.

4066020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11186 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4066020640 is about 63765.3561112929. The cubic root of 4066020640 is about 1596.0868749598.

The spelling of 4066020640 in words is "four billion, sixty-six million, twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 211 220 352 422 440 844 880 1055 1688 1760 2110 2321 3376 4220 4642 6752 8440 9284 10949 11605 16880 18568 21898 23210 33760 37136 43796 46420 54745 74272 87592 92840 109490 120439 175184 185680 218980 240878 350368 371360 437960 481756 602195 875920 963512 1204390 1751840 1927024 2310239 2408780 3854048 4620478 4817560 9240956 9635120 11551195 18481912 19270240 23102390 25412629 36963824 46204780 50825258 73927648 92409560 101650516 127063145 184819120 203301032 254126290 369638240 406602064 508252580 813204128 1016505160 2033010320 4066020640