Search a number
-
+
1330553004 = 22311373199
BaseRepresentation
bin100111101001110…
…1010000010101100
310102201200002120220
41033103222002230
510211110144004
6340010211340
744654341164
oct11723520254
93381602526
101330553004
11623076190
12311723b50
13182874891
14c89d55a4
157bc27dd9
hex4f4ea0ac

1330553004 has 96 divisors (see below), whose sum is σ = 3498432000. Its totient is φ = 390329280.

The previous prime is 1330552987. The next prime is 1330553011. The reversal of 1330553004 is 4003550331.

1330553004 = T375 + T376 + ... + T2002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6686097 + ... + 6686295.

It is an arithmetic number, because the mean of its divisors is an integer number (36442000).

Almost surely, 21330553004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330553004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749216000).

1330553004 is an abundant number, since it is smaller than the sum of its proper divisors (2167878996).

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

1330553004 is a wasteful number, since it uses less digits than its factorization.

1330553004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 1330553004 is about 36476.7460719840. The cubic root of 1330553004 is about 1099.8768468187.

The spelling of 1330553004 in words is "one billion, three hundred thirty million, five hundred fifty-three thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 199 222 398 407 444 597 796 814 1194 1221 1369 1628 2189 2388 2442 2738 4107 4378 4884 5476 6567 7363 8214 8756 13134 14726 15059 16428 22089 26268 29452 30118 44178 45177 50653 60236 80993 88356 90354 101306 151959 161986 180708 202612 242979 272431 303918 323972 485958 544862 557183 607836 817293 971916 1089724 1114366 1634586 1671549 2228732 2996741 3269172 3343098 5993482 6686196 8990223 10079947 11986964 17980446 20159894 30239841 35960892 40319788 60479682 110879417 120959364 221758834 332638251 443517668 665276502 1330553004