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541946240 = 27511233347
BaseRepresentation
bin100000010011010…
…111000110000000
31101202202201110222
4200103113012000
52102214234430
6125435442212
716300316123
oct4023270600
91352681428
10541946240
11258a07260
121315b6368
1388380764
1451d943ba
15328a19e5
hex204d7180

541946240 has 128 divisors (see below), whose sum is σ = 1475262720. Its totient is φ = 188446720.

The previous prime is 541946239. The next prime is 541946303. The reversal of 541946240 is 42649145.

It is a tau number, because it is divible by the number of its divisors (128).

It is a partition number, being equal to the number of ways a set of 109 identical objects can be partitioned into subset.

It is a self number, because there is not a number n which added to its sum of digits gives 541946240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160247 + ... + 163593.

It is an arithmetic number, because the mean of its divisors is an integer number (11525490).

Almost surely, 2541946240 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 541946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737631360).

541946240 is an abundant number, since it is smaller than the sum of its proper divisors (933316480).

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

541946240 is a wasteful number, since it uses less digits than its factorization.

541946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 541946240 is about 23279.7388301501. The cubic root of 541946240 is about 815.3024283165.

The spelling of 541946240 in words is "five hundred forty-one million, nine hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 320 352 368 440 460 506 640 704 736 880 920 1012 1265 1408 1472 1760 1840 2024 2530 2944 3347 3520 3680 4048 5060 6694 7040 7360 8096 10120 13388 14720 16192 16735 20240 26776 32384 33470 36817 40480 53552 66940 73634 76981 80960 107104 133880 147268 153962 161920 184085 214208 267760 294536 307924 368170 384905 428416 535520 589072 615848 736340 769810 846791 1071040 1178144 1231696 1472680 1539620 1693582 2142080 2356288 2463392 2945360 3079240 3387164 4233955 4712576 4926784 5890720 6158480 6774328 8467910 9853568 11781440 12316960 13548656 16935820 23562880 24633920 27097312 33871640 49267840 54194624 67743280 108389248 135486560 270973120 541946240