Search a number
-
+
1009297440 = 253252924169
BaseRepresentation
bin111100001010001…
…010100000100000
32121100011121210200
4330022022200200
54031340004230
6244052425200
734003613064
oct7412124040
92540147720
101009297440
114787a4118
12242018200
13131144028
149808baa4
155d91b160
hex3c28a820

1009297440 has 144 divisors (see below), whose sum is σ = 3563141400. Its totient is φ = 259854336.

The previous prime is 1009297417. The next prime is 1009297441. The reversal of 1009297440 is 447929001.

It can be written as a sum of positive squares in 4 ways, for example, as 990738576 + 18558864 = 31476^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1009297395 and 1009297404.

It is not an unprimeable number, because it can be changed into a prime (1009297441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29676 + ... + 53844.

Almost surely, 21009297440 is an apocalyptic number.

1009297440 is a gapful number since it is divisible by the number (10) 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 1009297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781570700).

1009297440 is an abundant number, since it is smaller than the sum of its proper divisors (2553843960).

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

1009297440 is a wasteful number, since it uses less digits than its factorization.

1009297440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24219 (or 24208 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1009297440 is about 31769.4419214439. The cubic root of 1009297440 is about 1003.0895912619.

The spelling of 1009297440 in words is "one billion, nine million, two hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 6960 8352 10440 13920 20880 24169 41760 48338 72507 96676 120845 145014 193352 217521 241690 290028 362535 386704 435042 483380 580056 700901 725070 773408 870084 966760 1087605 1160112 1401802 1450140 1740168 1933520 2102703 2175210 2320224 2803604 2900280 3480336 3504505 3867040 4205406 4350420 5607208 5800560 6308109 6960672 7009010 8410812 8700840 10513515 11214416 11601120 12616218 14018020 16821624 17401680 21027030 22428832 25232436 28036040 31540545 33643248 34803360 42054060 50464872 56072080 63081090 67286496 84108120 100929744 112144160 126162180 168216240 201859488 252324360 336432480 504648720 1009297440