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4209661120 = 26573160623
BaseRepresentation
bin1111101011101010…
…0101010011000000
3101212101012221102211
43322322211103000
532110133123440
61533415351504
7206214346330
oct37272452300
911771187384
104209661120
111870275785
12995982594
135211ac252
142bd12d0c0
1519988beea
hexfaea54c0

4209661120 has 112 divisors (see below), whose sum is σ = 11826044928. Its totient is φ = 1396730880.

The previous prime is 4209661117. The next prime is 4209661123. The reversal of 4209661120 is 211669024.

4209661120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4209661117) and next prime (4209661123).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4209661123) 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, 39129 + ... + 99751.

Almost surely, 24209661120 is an apocalyptic number.

4209661120 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 4209661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913022464).

4209661120 is an abundant number, since it is smaller than the sum of its proper divisors (7616383808).

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

4209661120 is a wasteful number, since it uses less digits than its factorization.

4209661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60678 (or 60668 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 4209661120 is about 64881.9013284907. The cubic root of 4209661120 is about 1614.6648040553.

The spelling of 4209661120 in words is "four billion, two hundred nine million, six hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 8680 9920 13888 17360 34720 60623 69440 121246 242492 303115 424361 484984 606230 848722 969968 1212460 1697444 1879313 1939936 2121805 2424920 3394888 3758626 3879872 4243610 4849840 6789776 7517252 8487220 9396565 9699680 13155191 13579552 15034504 16974440 18793130 19399360 26310382 27159104 30069008 33948880 37586260 52620764 60138016 65775955 67897760 75172520 105241528 120276032 131551910 135795520 150345040 210483056 263103820 300690080 420966112 526207640 601380160 841932224 1052415280 2104830560 4209661120