Search a number
-
+
4099154160 = 243531154919
BaseRepresentation
bin1111010001010100…
…0010000011110000
3101120200021121101110
43310111002003300
531343340413120
61514431033320
7203403143523
oct36425020360
911520247343
104099154160
111813958212
1296496b840
1350432a20a
142ac5a4bba
1518ed0e2e0
hexf45420f0

4099154160 has 80 divisors (see below), whose sum is σ = 12748469760. Its totient is φ = 1089573120.

The previous prime is 4099154153. The next prime is 4099154161. The reversal of 4099154160 is 614519904.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4099154161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47181 + ... + 102099.

It is an arithmetic number, because the mean of its divisors is an integer number (159355872).

Almost surely, 24099154160 is an apocalyptic number.

4099154160 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 4099154160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374234880).

4099154160 is an abundant number, since it is smaller than the sum of its proper divisors (8649315600).

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

4099154160 is a wasteful number, since it uses less digits than its factorization.

4099154160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55246 (or 55240 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 4099154160 is about 64024.6371329038. The cubic root of 4099154160 is about 1600.4105925413.

The spelling of 4099154160 in words is "four billion, ninety-nine million, one hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 12440 14928 18660 24880 37320 54919 74640 109838 164757 219676 274595 329514 439352 549190 659028 823785 878704 1098380 1318056 1647570 2196760 2636112 3295140 4393520 6590280 13180560 17079809 34159618 51239427 68319236 85399045 102478854 136638472 170798090 204957708 256197135 273276944 341596180 409915416 512394270 683192360 819830832 1024788540 1366384720 2049577080 4099154160