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1241900424 = 233431211293
BaseRepresentation
bin100101000000101…
…1110010110001000
310012112212002010000
41022001132112020
510020411303144
6323122123000
742526656642
oct11201362610
93175762100
101241900424
11588025196
122a7ab0460
1316a3a502b
14bad19892
1574065769
hex4a05e588

1241900424 has 160 divisors (see below), whose sum is σ = 3620010240. Its totient is φ = 397353600.

The previous prime is 1241900419. The next prime is 1241900431. The reversal of 1241900424 is 4240091421.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4238422 + ... + 4238714.

It is an arithmetic number, because the mean of its divisors is an integer number (22625064).

Almost surely, 21241900424 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 1241900424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810005120).

1241900424 is an abundant number, since it is smaller than the sum of its proper divisors (2378109816).

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

1241900424 is a wasteful number, since it uses less digits than its factorization.

1241900424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1241900424 is about 35240.6075997563. The cubic root of 1241900424 is about 1074.8856338402.

Adding to 1241900424 its reverse (4240091421), we get a palindrome (5481991845).

The spelling of 1241900424 in words is "one billion, two hundred forty-one million, nine hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 211 216 248 279 293 324 372 422 558 586 633 648 744 837 844 879 1116 1172 1266 1674 1688 1758 1899 2232 2344 2511 2532 2637 3348 3516 3798 5022 5064 5274 5697 6541 6696 7032 7596 7911 9083 10044 10548 11394 13082 15192 15822 17091 18166 19623 20088 21096 22788 23733 26164 27249 31644 34182 36332 39246 45576 47466 52328 54498 58869 61823 63288 68364 72664 78492 81747 94932 108996 117738 123646 136728 156984 163494 176607 185469 189864 217992 235476 245241 247292 326988 353214 370938 470952 490482 494584 529821 556407 653976 706428 735723 741876 980964 1059642 1112814 1412856 1471446 1483752 1669221 1916513 1961928 2119284 2225628 2942892 3338442 3833026 4238568 4451256 5007663 5749539 5885784 6676884 7666052 10015326 11499078 13353768 15332104 17248617 20030652 22998156 34497234 40061304 45996312 51745851 68994468 103491702 137988936 155237553 206983404 310475106 413966808 620950212 1241900424