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1330402040 = 2351119233683
BaseRepresentation
bin100111101001100…
…0101001011111000
310102201101102111122
41033103011023320
510211040331130
6340003044412
744653142102
oct11723051370
93381342448
101330402040
11622a82820
12311670708
13182820c56
14c8996572
157bbe82e5
hex4f4c52f8

1330402040 has 128 divisors (see below), whose sum is σ = 3457209600. Its totient is φ = 455685120.

The previous prime is 1330402039. The next prime is 1330402043. The reversal of 1330402040 is 402040331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330402043) 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, 1947539 + ... + 1948221.

It is an arithmetic number, because the mean of its divisors is an integer number (27009450).

Almost surely, 21330402040 is an apocalyptic number.

1330402040 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 1330402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728604800).

1330402040 is an abundant number, since it is smaller than the sum of its proper divisors (2126807560).

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

1330402040 is a wasteful number, since it uses less digits than its factorization.

1330402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1330402040 is about 36474.6766949345. The cubic root of 1330402040 is about 1099.8352480529.

Adding to 1330402040 its reverse (402040331), we get a palindrome (1732442371).

The spelling of 1330402040 in words is "one billion, three hundred thirty million, four hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 233 380 418 440 466 683 760 836 932 1045 1165 1366 1672 1864 2090 2330 2563 2732 3415 4180 4427 4660 5126 5464 6830 7513 8360 8854 9320 10252 12815 12977 13660 15026 17708 20504 22135 25630 25954 27320 30052 35416 37565 44270 48697 51260 51908 60104 64885 75130 88540 97394 102520 103816 129770 142747 150260 159139 177080 194788 243485 259540 285494 300520 318278 389576 486970 519080 570988 636556 713735 795695 973940 1141976 1273112 1427470 1591390 1750529 1947880 2854940 3023641 3182780 3501058 5709880 6047282 6365560 7002116 8752645 12094564 14004232 15118205 17505290 24189128 30236410 33260051 35010580 60472820 66520102 70021160 120945640 133040204 166300255 266080408 332600510 665201020 1330402040