Search a number
-
+
1009831320 = 233352334013
BaseRepresentation
bin111100001100001…
…100110110011000
32121101011202011000
4330030030312120
54032004100240
6244112105000
734011265431
oct7414146630
92541152130
101009831320
11479029243
12242235160
131312a0034
149818a488
155d9c4430
hex3c30cd98

1009831320 has 128 divisors (see below), whose sum is σ = 3381393600. Its totient is φ = 268065792.

The previous prime is 1009831309. The next prime is 1009831321. The reversal of 1009831320 is 231389001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009831321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249634 + ... + 253646.

Almost surely, 21009831320 is an apocalyptic number.

1009831320 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 1009831320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690696800).

1009831320 is an abundant number, since it is smaller than the sum of its proper divisors (2371562280).

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

1009831320 is a wasteful number, since it uses less digits than its factorization.

1009831320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1009831320 is about 31777.8432244858. The cubic root of 1009831320 is about 1003.2664255139.

The spelling of 1009831320 in words is "one billion, nine million, eight hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 233 270 360 466 540 699 932 1080 1165 1398 1864 2097 2330 2796 3495 4013 4194 4660 5592 6291 6990 8026 8388 9320 10485 12039 12582 13980 16052 16776 20065 20970 24078 25164 27960 31455 32104 36117 40130 41940 48156 50328 60195 62910 72234 80260 83880 96312 108351 120390 125820 144468 160520 180585 216702 240780 251640 288936 361170 433404 481560 541755 722340 866808 935029 1083510 1444680 1870058 2167020 2805087 3740116 4334040 4675145 5610174 7480232 8415261 9350290 11220348 14025435 16830522 18700580 22440696 25245783 28050870 33661044 37401160 42076305 50491566 56101740 67322088 84152610 100983132 112203480 126228915 168305220 201966264 252457830 336610440 504915660 1009831320