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1242310520 = 2351137137557
BaseRepresentation
bin100101000001100…
…0010011101111000
310012120121220122202
41022003002131320
510021012414040
6323135005332
742533315363
oct11203023570
93176556582
101242310520
11588285310
122a8069848
1316a4b98a9
14badc50da
15740e7015
hex4a0c2778

1242310520 has 128 divisors (see below), whose sum is σ = 3160244160. Its totient is φ = 435548160.

The previous prime is 1242310469. The next prime is 1242310529. The reversal of 1242310520 is 250132421.

It is a super-4 number, since 4×12423105204 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1242310492 and 1242310501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242310529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2230082 + ... + 2230638.

Almost surely, 21242310520 is an apocalyptic number.

1242310520 is a gapful number since it is divisible by the number (10) 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 1242310520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580122080).

1242310520 is an abundant number, since it is smaller than the sum of its proper divisors (1917933640).

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

1242310520 is a wasteful number, since it uses less digits than its factorization.

1242310520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1242310520 is about 35246.4256343817. The cubic root of 1242310520 is about 1075.0039358068.

Adding to 1242310520 its reverse (250132421), we get a palindrome (1492442941).

The spelling of 1242310520 in words is "one billion, two hundred forty-two million, three hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 137 148 185 220 274 296 370 407 440 548 557 685 740 814 1096 1114 1370 1480 1507 1628 2035 2228 2740 2785 3014 3256 4070 4456 5069 5480 5570 6028 6127 7535 8140 10138 11140 12056 12254 15070 16280 20276 20609 22280 24508 25345 30140 30635 40552 41218 49016 50690 55759 60280 61270 76309 82436 101380 103045 111518 122540 152618 164872 202760 206090 223036 226699 245080 278795 305236 381545 412180 446072 453398 557590 610472 763090 824360 839399 906796 1115180 1133495 1526180 1678798 1813592 2230360 2266990 2823433 3052360 3357596 4196995 4533980 5646866 6715192 8393990 9067960 11293732 14117165 16787980 22587464 28234330 31057763 33575960 56468660 62115526 112937320 124231052 155288815 248462104 310577630 621155260 1242310520