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1532857980 = 223541432337
BaseRepresentation
bin101101101011101…
…1000111001111100
310221211100020211210
41123113120321330
511114402423410
6412034244420
752662035463
oct13327307174
93854306753
101532857980
11717292985
12369426710
131b5758074
141078179da
158e88a220
hex5b5d8e7c

1532857980 has 144 divisors (see below), whose sum is σ = 4514668704. Its totient is φ = 388362240.

The previous prime is 1532857969. The next prime is 1532857993. The reversal of 1532857980 is 897582351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4548372 + ... + 4548708.

It is an arithmetic number, because the mean of its divisors is an integer number (31351866).

Almost surely, 21532857980 is an apocalyptic number.

1532857980 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 1532857980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257334352).

1532857980 is an abundant number, since it is smaller than the sum of its proper divisors (2981810724).

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

1532857980 is a wasteful number, since it uses less digits than its factorization.

1532857980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 1532857980 is about 39151.7302299656. The cubic root of 1532857980 is about 1153.0123870756.

The spelling of 1532857980 in words is "one billion, five hundred thirty-two million, eight hundred fifty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 43 60 82 86 123 129 164 172 205 215 246 258 337 410 430 492 516 615 645 674 820 860 1011 1230 1290 1348 1685 1763 1849 2022 2460 2580 3370 3526 3698 4044 5055 5289 5547 6740 7052 7396 8815 9245 10110 10578 11094 13817 14491 17630 18490 20220 21156 22188 26445 27634 27735 28982 35260 36980 41451 43473 52890 55268 55470 57964 69085 72455 75809 82902 86946 105780 110940 138170 144910 151618 165804 173892 207255 217365 227427 276340 289820 303236 379045 414510 434730 454854 594131 623113 758090 829020 869460 909708 1137135 1188262 1246226 1516180 1782393 1869339 2274270 2376524 2492452 2970655 3115565 3564786 3738678 4548540 5941310 6231130 7129572 7477356 8911965 9346695 11882620 12462260 17823930 18693390 25547633 35647860 37386780 51095266 76642899 102190532 127738165 153285798 255476330 306571596 383214495 510952660 766428990 1532857980