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1040849460 = 223357275357
BaseRepresentation
bin111110000010100…
…001101000110100
32200112112122001000
4332002201220310
54112424140320
6251141003300
734536034350
oct7602415064
92615478030
101040849460
11494594672
122506b3530
13137840571
149c342460
156159ec90
hex3e0a1a34

1040849460 has 96 divisors (see below), whose sum is σ = 3700811520. Its totient is φ = 237907584.

The previous prime is 1040849437. The next prime is 1040849461. The reversal of 1040849460 is 649480401.

It is a happy number.

1040849460 is a `hidden beast` number, since 104 + 0 + 8 + 494 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040849461) 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 31 ways as a sum of consecutive naturals, for example, 133899 + ... + 141458.

It is an arithmetic number, because the mean of its divisors is an integer number (38550120).

Almost surely, 21040849460 is an apocalyptic number.

1040849460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040849460 is an abundant number, since it is smaller than the sum of its proper divisors (2659962060).

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

1040849460 is a wasteful number, since it uses less digits than its factorization.

1040849460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275382 (or 275374 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1040849460 is about 32262.1986231565. The cubic root of 1040849460 is about 1013.4351743886.

The spelling of 1040849460 in words is "one billion, forty million, eight hundred forty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 275357 550714 826071 1101428 1376785 1652142 1927499 2478213 2753570 3304284 3854998 4130355 4956426 5507140 5782497 7434639 7709996 8260710 9637495 9912852 11564994 12391065 14869278 16521420 17347491 19274990 23129988 24782130 28912485 29738556 34694982 37173195 38549980 49564260 52042473 57824970 69389964 74346390 86737455 104084946 115649940 148692780 173474910 208169892 260212365 346949820 520424730 1040849460