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4094510940 = 22325134873593
BaseRepresentation
bin1111010000001101…
…0100011101011100
3101120100112201002100
43310003110131130
531341143322230
61514143325100
7203315524452
oct36403243534
911510481070
104094510940
111811276743
129632b0790
13503392950
142abb169d2
1518e6e3660
hexf40d475c

4094510940 has 144 divisors (see below), whose sum is σ = 13406597568. Its totient is φ = 1005530112.

The previous prime is 4094510939. The next prime is 4094510951. The reversal of 4094510940 is 490154904.

It is a happy number.

4094510940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4094510895 and 4094510904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137784 + ... + 1141376.

It is an arithmetic number, because the mean of its divisors is an integer number (93101372).

Almost surely, 24094510940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4094510940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703298784).

4094510940 is an abundant number, since it is smaller than the sum of its proper divisors (9312086628).

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

4094510940 is a wasteful number, since it uses less digits than its factorization.

4094510940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4094510940 is about 63988.3656612669. The cubic root of 4094510940 is about 1599.8060884791.

The spelling of 4094510940 in words is "four billion, ninety-four million, five hundred ten thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 487 585 780 974 1170 1461 1948 2340 2435 2922 3593 4383 4870 5844 6331 7186 7305 8766 9740 10779 12662 14372 14610 17532 17965 18993 21558 21915 25324 29220 31655 32337 35930 37986 43116 43830 46709 53895 56979 63310 64674 71860 75972 87660 93418 94965 107790 113958 126620 129348 140127 161685 186836 189930 215580 227916 233545 280254 284895 323370 379860 420381 467090 560508 569790 646740 700635 840762 934180 1139580 1401270 1681524 1749791 2101905 2802540 3499582 4203810 5249373 6999164 8407620 8748955 10498746 15748119 17497910 20997492 22747283 26246865 31496238 34995820 45494566 52493730 62992476 68241849 78740595 90989132 104987460 113736415 136483698 157481190 204725547 227472830 272967396 314962380 341209245 409451094 454945660 682418490 818902188 1023627735 1364836980 2047255470 4094510940