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1241421504 = 263231971427
BaseRepresentation
bin100100111111110…
…1001011011000000
310012111221202011020
41021333221123000
510020300442004
6323103545440
742522623451
oct11177513300
93174852136
101241421504
11587828394
122a78bb280
1316a26804b
14bac33128
1573ebd8d9
hex49fe96c0

1241421504 has 112 divisors (see below), whose sum is σ = 3447214848. Its totient is φ = 393530368.

The previous prime is 1241421497. The next prime is 1241421509. The reversal of 1241421504 is 4051241421.

1241421504 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12414215042 = 3082254701187244032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1241421509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869239 + ... + 870665.

It is an arithmetic number, because the mean of its divisors is an integer number (30778704).

Almost surely, 21241421504 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 1241421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723607424).

1241421504 is an abundant number, since it is smaller than the sum of its proper divisors (2205793344).

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

1241421504 is a wasteful number, since it uses less digits than its factorization.

1241421504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1241421504 is about 35233.8119425077. The cubic root of 1241421504 is about 1074.7474449793.

Adding to 1241421504 its reverse (4051241421), we get a palindrome (5292662925).

The spelling of 1241421504 in words is "one billion, two hundred forty-one million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 197 276 368 394 552 591 736 788 1104 1182 1427 1472 1576 2208 2364 2854 3152 4281 4416 4531 4728 5708 6304 8562 9062 9456 11416 12608 13593 17124 18124 18912 22832 27186 32821 34248 36248 37824 45664 54372 65642 68496 72496 91328 98463 108744 131284 136992 144992 196926 217488 262568 273984 281119 289984 393852 434976 525136 562238 787704 843357 869952 1050272 1124476 1575408 1686714 2100544 2248952 3150816 3373428 4497904 6301632 6465737 6746856 8995808 12931474 13493712 17991616 19397211 25862948 26987424 38794422 51725896 53974848 77588844 103451792 155177688 206903584 310355376 413807168 620710752 1241421504