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545350140 = 2232517315749
BaseRepresentation
bin100000100000010…
…110000111111100
31102000011122202100
4200200112013330
52104102201030
6130040425100
716341254046
oct4040260774
91360148670
10545350140
1125a9216a5
12132778190
1388ca2bba
14525dca96
1532d25360
hex208161fc

545350140 has 144 divisors (see below), whose sum is σ = 1808352000. Its totient is φ = 132433920.

The previous prime is 545350129. The next prime is 545350151. The reversal of 545350140 is 41053545.

It is an interprime number because it is at equal distance from previous prime (545350129) and next prime (545350151).

It is a congruent number.

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, 91986 + ... + 97734.

It is an arithmetic number, because the mean of its divisors is an integer number (12558000).

Almost surely, 2545350140 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 545350140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904176000).

545350140 is an abundant number, since it is smaller than the sum of its proper divisors (1263001860).

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

545350140 is a wasteful number, since it uses less digits than its factorization.

545350140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 545350140 is about 23352.7330306326. The cubic root of 545350140 is about 817.0058062966.

It can be divided in two parts, 545350 and 140, that added together give a triangular number (545490 = T1044).

The spelling of 545350140 in words is "five hundred forty-five million, three hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 340 372 465 510 527 558 612 620 765 930 1020 1054 1116 1395 1530 1581 1860 2108 2635 2790 3060 3162 4743 5270 5580 5749 6324 7905 9486 10540 11498 15810 17247 18972 22996 23715 28745 31620 34494 47430 51741 57490 68988 86235 94860 97733 103482 114980 172470 178219 195466 206964 258705 293199 344940 356438 390932 488665 517410 534657 586398 712876 879597 891095 977330 1034820 1069314 1172796 1465995 1603971 1759194 1782190 1954660 2138628 2673285 2931990 3029723 3207942 3518388 3564380 4397985 5346570 5863980 6059446 6415884 8019855 8795970 9089169 10693140 12118892 15148615 16039710 17591940 18178338 27267507 30297230 32079420 36356676 45445845 54535014 60594460 90891690 109070028 136337535 181783380 272675070 545350140