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1253055240 = 2332519917491
BaseRepresentation
bin100101010110000…
…0001101100001000
310020022211210122100
41022230001230020
510031240231430
6324201153400
743023536163
oct11254015410
93208753570
101253055240
11593353a48
122ab78b860
1316c7ac408
14bc5c0ada
157501a960
hex4ab01b08

1253055240 has 96 divisors (see below), whose sum is σ = 4093128000. Its totient is φ = 332449920.

The previous prime is 1253055197. The next prime is 1253055241. The reversal of 1253055240 is 425503521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1253055241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62895 + ... + 80385.

It is an arithmetic number, because the mean of its divisors is an integer number (42636750).

Almost surely, 21253055240 is an apocalyptic number.

1253055240 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 1253055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046564000).

1253055240 is an abundant number, since it is smaller than the sum of its proper divisors (2840072760).

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

1253055240 is a wasteful number, since it uses less digits than its factorization.

1253055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707 (or 17700 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1253055240 is about 35398.5203080581. The cubic root of 1253055240 is about 1078.0942729491.

Adding to 1253055240 its reverse (425503521), we get a palindrome (1678558761).

The spelling of 1253055240 in words is "one billion, two hundred fifty-three million, fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 360 398 597 796 995 1194 1592 1791 1990 2388 2985 3582 3980 4776 5970 7164 7960 8955 11940 14328 17491 17910 23880 34982 35820 52473 69964 71640 87455 104946 139928 157419 174910 209892 262365 314838 349820 419784 524730 629676 699640 787095 1049460 1259352 1574190 2098920 3148380 3480709 6296760 6961418 10442127 13922836 17403545 20884254 27845672 31326381 34807090 41768508 52210635 62652762 69614180 83537016 104421270 125305524 139228360 156631905 208842540 250611048 313263810 417685080 626527620 1253055240