Search a number
-
+
3148323560 = 235197356747
BaseRepresentation
bin1011101110100111…
…1001101011101000
322010102010102000022
42323221321223220
522421432323220
61240223300012
7141006210614
oct27351715350
98112112008
103148323560
1113761680a8
1273a44a608
133b2347365
1421c1b6344
151365e1925
hexbba79ae8

3148323560 has 64 divisors (see below), whose sum is σ = 7558833600. Its totient is φ = 1176685056.

The previous prime is 3148323557. The next prime is 3148323569. The reversal of 3148323560 is 653238413.

It is a self number, because there is not a number n which added to its sum of digits gives 3148323560.

It is not an unprimeable number, because it can be changed into a prime (3148323569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27107 + ... + 83853.

It is an arithmetic number, because the mean of its divisors is an integer number (118106775).

Almost surely, 23148323560 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 3148323560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779416800).

3148323560 is an abundant number, since it is smaller than the sum of its proper divisors (4410510040).

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

3148323560 is a wasteful number, since it uses less digits than its factorization.

3148323560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56850 (or 56846 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 3148323560 is about 56109.9238994316. The cubic root of 3148323560 is about 1465.6371110151.

The spelling of 3148323560 in words is "three billion, one hundred forty-eight million, three hundred twenty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 73 76 95 146 152 190 292 365 380 584 730 760 1387 1460 2774 2920 5548 6935 11096 13870 27740 55480 56747 113494 226988 283735 453976 567470 1078193 1134940 2156386 2269880 4142531 4312772 5390965 8285062 8625544 10781930 16570124 20712655 21563860 33140248 41425310 43127720 78708089 82850620 157416178 165701240 314832356 393540445 629664712 787080890 1574161780 3148323560