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541240704 = 273517401
BaseRepresentation
bin100000010000101…
…010110110000000
31101201102212200000
4200100222312000
52102024200304
6125412400000
716261320144
oct4020526600
91351385600
10541240704
11258575174
12131316000
1388194594
1451c4d224
15327b2939
hex2042ad80

541240704 has 96 divisors (see below), whose sum is σ = 1615253640. Its totient is φ = 180403200.

The previous prime is 541240657. The next prime is 541240709. The reversal of 541240704 is 407042145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541240709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22404 + ... + 39804.

Almost surely, 2541240704 is an apocalyptic number.

541240704 is a gapful number since it is divisible by the number (54) 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 541240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807626820).

541240704 is an abundant number, since it is smaller than the sum of its proper divisors (1074012936).

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

541240704 is an equidigital number, since it uses as much as digits as its factorization.

541240704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17430 (or 17406 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 541240704 is about 23264.5804604338. The cubic root of 541240704 is about 814.9484725349.

Adding to 541240704 its reverse (407042145), we get a palindrome (948282849).

The spelling of 541240704 in words is "five hundred forty-one million, two hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 17401 31104 34802 52203 69604 104406 139208 156609 208812 278416 313218 417624 469827 556832 626436 835248 939654 1113664 1252872 1409481 1670496 1879308 2227328 2505744 2818962 3340992 3758616 4228443 5011488 5637924 6681984 7517232 8456886 10022976 11275848 15034464 16913772 20045952 22551696 30068928 33827544 45103392 60137856 67655088 90206784 135310176 180413568 270620352 541240704