Search a number
-
+
1241020536 = 233717571761
BaseRepresentation
bin100100111111000…
…0111100001111000
310012111012101010120
41021332013201320
510020200124121
6323051213240
742516333450
oct11176074170
93174171116
101241020536
11587584108
122a7747220
1316a1576a2
14bab6ad60
1573e3ebc6
hex49f87878

1241020536 has 128 divisors (see below), whose sum is σ = 3765864960. Its totient is φ = 332697600.

The previous prime is 1241020457. The next prime is 1241020537. The reversal of 1241020536 is 6350201421.

1241020536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241020537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630396 + ... + 1631156.

It is an arithmetic number, because the mean of its divisors is an integer number (29420820).

Almost surely, 21241020536 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 1241020536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882932480).

1241020536 is an abundant number, since it is smaller than the sum of its proper divisors (2524844424).

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

1241020536 is a wasteful number, since it uses less digits than its factorization.

1241020536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1241020536 is about 35228.1213805108. The cubic root of 1241020536 is about 1074.6317212607.

Adding to 1241020536 its reverse (6350201421), we get a palindrome (7591221957).

The spelling of 1241020536 in words is "one billion, two hundred forty-one million, twenty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 571 714 761 952 1142 1428 1522 1713 2283 2284 2856 3044 3426 3997 4566 4568 5327 6088 6852 7994 9132 9707 10654 11991 12937 13704 15981 15988 18264 19414 21308 23982 25874 29121 31962 31976 38811 38828 42616 47964 51748 58242 63924 67949 77622 77656 90559 95928 103496 116484 127848 135898 155244 181118 203847 232968 271677 271796 310488 362236 407694 434531 543354 543592 724472 815388 869062 1086708 1303593 1630776 1738124 2173416 2607186 3041717 3476248 5214372 6083434 7387027 9125151 10428744 12166868 14774054 18250302 22161081 24333736 29548108 36500604 44322162 51709189 59096216 73001208 88644324 103418378 155127567 177288648 206836756 310255134 413673512 620510268 1241020536