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10543505140 = 22571017391009
BaseRepresentation
bin10011101000111000…
…10001111011110100
31000012210110120000101
421310130101323310
5133043114131030
64502115523444
7522164213020
oct116434217364
930183416011
1010543505140
114520596513
122062bb9584
13cc049564c
14720401380
1541a96b7ca
hex274711ef4

10543505140 has 96 divisors (see below), whose sum is σ = 25614892800. Its totient is φ = 3570739200.

The previous prime is 10543505131. The next prime is 10543505173. The reversal of 10543505140 is 4150534501.

It is a super-2 number, since 2×105435051402 (a number of 21 digits) 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 = 10543505099 and 10543505108.

It is a congruent 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, 10448956 + ... + 10449964.

It is an arithmetic number, because the mean of its divisors is an integer number (266821800).

Almost surely, 210543505140 is an apocalyptic number.

10543505140 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 10543505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807446400).

10543505140 is an abundant number, since it is smaller than the sum of its proper divisors (15071387660).

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

10543505140 is a wasteful number, since it uses less digits than its factorization.

10543505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 10543505140 in words is "ten billion, five hundred forty-three million, five hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 739 1009 1010 1414 1478 2018 2020 2828 2956 3535 3695 4036 5045 5173 7063 7070 7390 10090 10346 14126 14140 14780 20180 20692 25865 28252 35315 51730 70630 74639 101909 103460 141260 149278 203818 298556 373195 407636 509545 522473 713363 745651 746390 1019090 1044946 1426726 1491302 1492780 2038180 2089892 2612365 2853452 2982604 3566815 3728255 5219557 5224730 7133630 7456510 10439114 10449460 14267260 14913020 20878228 26097785 52195570 75310751 104391140 150621502 301243004 376553755 527175257 753107510 1054350514 1506215020 2108701028 2635876285 5271752570 10543505140