Search a number
-
+
1293676740 = 223257187093
BaseRepresentation
bin100110100011011…
…1111000011000100
310100011021120212100
41031012333003010
510122140123430
6332211552100
744026033206
oct11506770304
93304246770
101293676740
11604279534
123012bb630
13178032ac5
14c3b56776
1578891960
hex4d1bf0c4

1293676740 has 36 divisors (see below), whose sum is σ = 3924153324. Its totient is φ = 344980416.

The previous prime is 1293676733. The next prime is 1293676751. The reversal of 1293676740 is 476763921.

It can be written as a sum of positive squares in 2 ways, for example, as 177582276 + 1116094464 = 13326^2 + 33408^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3593367 + ... + 3593726.

It is an arithmetic number, because the mean of its divisors is an integer number (109004259).

Almost surely, 21293676740 is an apocalyptic number.

1293676740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1293676740 is an abundant number, since it is smaller than the sum of its proper divisors (2630476584).

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

1293676740 is a wasteful number, since it uses less digits than its factorization.

1293676740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187108 (or 7187103 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1293676740 is about 35967.7180260300. The cubic root of 1293676740 is about 1089.6204778086.

It can be divided in two parts, 12936 and 76740, that added together give a triangular number (89676 = T423).

The spelling of 1293676740 in words is "one billion, two hundred ninety-three million, six hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7187093 14374186 21561279 28748372 35935465 43122558 64683837 71870930 86245116 107806395 129367674 143741860 215612790 258735348 323419185 431225580 646838370 1293676740