Search a number
-
+
1293293890 = 257101182927
BaseRepresentation
bin100110100010110…
…0001100101000010
310100010120010200201
41031011201211002
510122040401030
6332155435414
744022550060
oct11505414502
93303503621
101293293890
11604037929
12301155b6a
13177c2a775
14c3a97030
15788182ca
hex4d161942

1293293890 has 32 divisors (see below), whose sum is σ = 2686846464. Its totient is φ = 439022400.

The previous prime is 1293293857. The next prime is 1293293891. The reversal of 1293293890 is 983923921.

It is a super-3 number, since 3×12932938903 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1293293890.

It is not an unprimeable number, because it can be changed into a prime (1293293891) 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, 84394 + ... + 98533.

It is an arithmetic number, because the mean of its divisors is an integer number (83963952).

Almost surely, 21293293890 is an apocalyptic number.

1293293890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1293293890 is an abundant number, since it is smaller than the sum of its proper divisors (1393552574).

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

1293293890 is a wasteful number, since it uses less digits than its factorization.

1293293890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183042.

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 1293293890 is about 35962.3954986316. The cubic root of 1293293890 is about 1089.5129799706.

The spelling of 1293293890 in words is "one billion, two hundred ninety-three million, two hundred ninety-three thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 101 202 505 707 1010 1414 3535 7070 182927 365854 914635 1280489 1829270 2560978 6402445 12804890 18475627 36951254 92378135 129329389 184756270 258658778 646646945 1293293890