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541660416 = 2831197661
BaseRepresentation
bin100000010010010…
…001010100000000
31101202020012101220
4200102101110000
52102131113131
6125425355040
716265015613
oct4022212400
91352205356
10541660416
11258831540
12131498a80
13882b062b
1451d1c17a
1532846e96
hex20491500

541660416 has 144 divisors (see below), whose sum is σ = 1591278528. Its totient is φ = 162201600.

The previous prime is 541660411. The next prime is 541660433. The reversal of 541660416 is 614066145.

It is a happy number.

It is a super-2 number, since 2×5416604162 = 586792012522586112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541660411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819126 + ... + 819786.

Almost surely, 2541660416 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 541660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795639264).

541660416 is an abundant number, since it is smaller than the sum of its proper divisors (1049618112).

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

541660416 is a wasteful number, since it uses less digits than its factorization.

541660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 541660416 is about 23273.5991200330. The cubic root of 541660416 is about 815.1590721657.

The spelling of 541660416 in words is "five hundred forty-one million, six hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 128 132 176 192 194 256 264 291 352 384 388 528 582 661 704 768 776 1056 1067 1164 1322 1408 1552 1983 2112 2134 2328 2644 2816 3104 3201 3966 4224 4268 4656 5288 6208 6402 7271 7932 8448 8536 9312 10576 12416 12804 14542 15864 17072 18624 21152 21813 24832 25608 29084 31728 34144 37248 42304 43626 51216 58168 63456 64117 68288 74496 84608 87252 102432 116336 126912 128234 136576 169216 174504 192351 204864 232672 253824 256468 273152 349008 384702 409728 465344 507648 512936 698016 705287 769404 819456 930688 1025872 1396032 1410574 1538808 1861376 2051744 2115861 2792064 2821148 3077616 4103488 4231722 5584128 5642296 6155232 8206976 8463444 11284592 12310464 16413952 16926888 22569184 24620928 33853776 45138368 49241856 67707552 90276736 135415104 180553472 270830208 541660416