Search a number
-
+
1253223240 = 233589271433
BaseRepresentation
bin100101010110010…
…1010101101001000
310020100011100002120
41022230222231020
510031311120430
6324204531240
743025136033
oct11254525510
93210140076
101253223240
11593459195
122ab850b20
1316c83aa19
14bc62601a
1575050610
hex4ab2ab48

1253223240 has 128 divisors (see below), whose sum is σ = 3824755200. Its totient is φ = 328458240.

The previous prime is 1253223233. The next prime is 1253223247. The reversal of 1253223240 is 423223521.

It is an interprime number because it is at equal distance from previous prime (1253223233) and next prime (1253223247).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1253223240.

It is not an unprimeable number, because it can be changed into a prime (1253223247) 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, 2894064 + ... + 2894496.

It is an arithmetic number, because the mean of its divisors is an integer number (29880900).

Almost surely, 21253223240 is an apocalyptic number.

1253223240 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 1253223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912377600).

1253223240 is an abundant number, since it is smaller than the sum of its proper divisors (2571531960).

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

1253223240 is a wasteful number, since it uses less digits than its factorization.

1253223240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1253223240 is about 35400.8932090703. The cubic root of 1253223240 is about 1078.1424516562.

Adding to 1253223240 its reverse (423223521), we get a palindrome (1676446761).

The spelling of 1253223240 in words is "one billion, two hundred fifty-three million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 271 356 433 445 534 542 712 813 866 890 1068 1084 1299 1335 1355 1626 1732 1780 2136 2165 2168 2598 2670 2710 3252 3464 3560 4065 4330 5196 5340 5420 6495 6504 8130 8660 10392 10680 10840 12990 16260 17320 24119 25980 32520 38537 48238 51960 72357 77074 96476 115611 117343 120595 144714 154148 192685 192952 231222 234686 241190 289428 308296 352029 361785 385370 462444 469372 482380 578055 578856 586715 704058 723570 770740 924888 938744 964760 1156110 1173430 1408116 1447140 1541480 1760145 2312220 2346860 2816232 2894280 3520290 4624440 4693720 7040580 10443527 14081160 20887054 31330581 41774108 52217635 62661162 83548216 104435270 125322324 156652905 208870540 250644648 313305810 417741080 626611620 1253223240