Search a number
-
+
515403442020 = 2235131233281429
BaseRepresentation
bin1111000000000000111…
…00000110011101100100
31211021100100111122100010
413200000130012131210
531421021240121040
61032434552250220
752144114654515
oct7400034063544
91737310448303
10515403442020
11189643896475
1283a7b6a0970
13397aa441ccc
141ad34c66a0c
15d61808ae80
hex7800706764

515403442020 has 96 divisors (see below), whose sum is σ = 1460392053120. Its totient is φ = 135805895680.

The previous prime is 515403441961. The next prime is 515403442033. The reversal of 515403442020 is 20244304515.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1690666 + ... + 1972094.

It is an arithmetic number, because the mean of its divisors is an integer number (15212417220).

Almost surely, 2515403442020 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 515403442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730196026560).

515403442020 is an abundant number, since it is smaller than the sum of its proper divisors (944988611100).

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

515403442020 is a wasteful number, since it uses less digits than its factorization.

515403442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281805 (or 281803 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 515403442020 its reverse (20244304515), we get a palindrome (535647746535).

The spelling of 515403442020 in words is "five hundred fifteen billion, four hundred three million, four hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 233 262 393 466 524 655 699 786 932 1165 1310 1398 1572 1965 2330 2620 2796 3495 3930 4660 6990 7860 13980 30523 61046 91569 122092 152615 183138 281429 305230 366276 457845 562858 610460 844287 915690 1125716 1407145 1688574 1831380 2814290 3377148 4221435 5628580 8442870 16885740 36867199 65572957 73734398 110601597 131145914 147468796 184335995 196718871 221203194 262291828 327864785 368671990 393437742 442406388 553007985 655729570 737343980 786875484 983594355 1106015970 1311459140 1967188710 2212031940 3934377420 8590057367 17180114734 25770172101 34360229468 42950286835 51540344202 85900573670 103080688404 128850860505 171801147340 257701721010 515403442020