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1330153572 = 2231123243443
BaseRepresentation
bin100111101001000…
…1000100001100100
310102200220210200010
41033102020201210
510211004403242
6335553450220
744651055516
oct11722104144
93380823603
101330153572
11622923080
12311570970
13182764b27
14c892dbb6
157bb9989c
hex4f488864

1330153572 has 144 divisors (see below), whose sum is σ = 3629945088. Its totient is φ = 375735360.

The previous prime is 1330153553. The next prime is 1330153619. The reversal of 1330153572 is 2753510331.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3002383 + ... + 3002825.

It is an arithmetic number, because the mean of its divisors is an integer number (25207952).

Almost surely, 21330153572 is an apocalyptic number.

1330153572 is a gapful number since it is divisible by the number (12) 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 1330153572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814972544).

1330153572 is an abundant number, since it is smaller than the sum of its proper divisors (2299791516).

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

1330153572 is a wasteful number, since it uses less digits than its factorization.

1330153572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 1330153572 is about 36471.2705015880. The cubic root of 1330153572 is about 1099.7667747968.

The spelling of 1330153572 in words is "one billion, three hundred thirty million, one hundred fifty-three thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 43 44 46 66 69 86 92 129 132 138 172 253 258 276 443 473 506 516 529 759 886 946 989 1012 1058 1329 1419 1518 1587 1772 1892 1978 2116 2658 2838 2967 3036 3174 3956 4873 5316 5676 5819 5934 6348 9746 10189 10879 11638 11868 14619 17457 19049 19492 20378 21758 22747 23276 29238 30567 32637 34914 38098 40756 43516 45494 57147 58476 61134 65274 68241 69828 76196 90988 112079 114294 122268 130548 136482 209539 224158 228588 234347 250217 272964 336237 419078 438127 448316 468694 500434 628617 672474 703041 750651 838156 876254 937388 1000868 1257234 1314381 1344948 1406082 1501302 1752508 2514468 2577817 2628762 2812164 3002604 4819397 5155634 5257524 7733451 9638794 10076921 10311268 14458191 15466902 19277588 20153842 28916382 30230763 30933804 40307684 57832764 60461526 110846131 120923052 221692262 332538393 443384524 665076786 1330153572