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1533056140 = 2257211712003
BaseRepresentation
bin101101101100000…
…1001010010001100
310221211201022200001
41123120021102030
511114430244030
6412042414044
752663522300
oct13330112214
93854638601
101533056140
11717408850
12369501324
131b57c7315
14107869d00
158e8c8cca
hex5b60948c

1533056140 has 144 divisors (see below), whose sum is σ = 4145105664. Its totient is φ = 470870400.

The previous prime is 1533056123. The next prime is 1533056153. The reversal of 1533056140 is 416503351.

It is a super-2 number, since 2×15330561402 = 4700522256783399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1533056099 and 1533056108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764379 + ... + 766381.

It is an arithmetic number, because the mean of its divisors is an integer number (28785456).

Almost surely, 21533056140 is an apocalyptic number.

1533056140 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 1533056140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072552832).

1533056140 is an abundant number, since it is smaller than the sum of its proper divisors (2612049524).

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

1533056140 is a wasteful number, since it uses less digits than its factorization.

1533056140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 1533056140 is about 39154.2608153953. The cubic root of 1533056140 is about 1153.0620701062.

Adding to 1533056140 its reverse (416503351), we get a palindrome (1949559491).

The spelling of 1533056140 in words is "one billion, five hundred thirty-three million, fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 71 77 98 110 140 142 154 196 220 245 284 308 355 385 490 497 539 710 770 781 980 994 1078 1420 1540 1562 1988 2003 2156 2485 2695 3124 3479 3905 4006 4970 5390 5467 6958 7810 8012 9940 10015 10780 10934 13916 14021 15620 17395 20030 21868 22033 27335 28042 34790 38269 40060 44066 54670 56084 69580 70105 76538 88132 98147 109340 110165 140210 142213 153076 154231 191345 196294 220330 280420 284426 308462 382690 392588 440660 490735 568852 616924 711065 765380 771155 981470 995491 1079617 1422130 1542310 1564343 1962940 1990982 2159234 2844260 3084620 3128686 3981964 4318468 4977455 5398085 6257372 6968437 7821715 9954910 10796170 10950401 13936874 15643430 19909820 21592340 21900802 27873748 31286860 34842185 43801604 54752005 69684370 76652807 109504010 139368740 153305614 219008020 306611228 383264035 766528070 1533056140