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1252130440 = 2351171149269
BaseRepresentation
bin100101010100001…
…1111111010001000
310020021002211001111
41022220133322020
510031021133230
6324125300104
743012635031
oct11250377210
93207084044
101252130440
11592882150
122ab404634
1316c5474b2
14bc41da88
1574dd692a
hex4aa1fe88

1252130440 has 128 divisors (see below), whose sum is σ = 3149280000. Its totient is φ = 444236800.

The previous prime is 1252130437. The next prime is 1252130443. The reversal of 1252130440 is 440312521.

It is an interprime number because it is at equal distance from previous prime (1252130437) and next prime (1252130443).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1252130443) 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, 4654626 + ... + 4654894.

It is an arithmetic number, because the mean of its divisors is an integer number (24603750).

Almost surely, 21252130440 is an apocalyptic number.

1252130440 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 1252130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574640000).

1252130440 is an abundant number, since it is smaller than the sum of its proper divisors (1897149560).

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

1252130440 is a wasteful number, since it uses less digits than its factorization.

1252130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1252130440 is about 35385.4552040807. The cubic root of 1252130440 is about 1077.8289835105.

Adding to 1252130440 its reverse (440312521), we get a palindrome (1692442961).

The spelling of 1252130440 in words is "one billion, two hundred fifty-two million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 149 220 269 284 298 355 440 538 568 596 710 745 781 1076 1192 1345 1420 1490 1562 1639 2152 2690 2840 2959 2980 3124 3278 3905 5380 5918 5960 6248 6556 7810 8195 10579 10760 11836 13112 14795 15620 16390 19099 21158 23672 29590 31240 32780 38198 40081 42316 52895 59180 65560 76396 80162 84632 95495 105790 116369 118360 152792 160324 190990 200405 210089 211580 232738 320648 381980 400810 420178 423160 440891 465476 581845 763960 801620 840356 881782 930952 1050445 1163690 1603240 1680712 1763564 2100890 2204455 2327380 2845751 3527128 4201780 4408910 4654760 5691502 8403560 8817820 11383004 14228755 17635640 22766008 28457510 31303261 56915020 62606522 113830040 125213044 156516305 250426088 313032610 626065220 1252130440