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1252023140 = 225172251863
BaseRepresentation
bin100101010100000…
…0101101101100100
310020020220100212102
41022220011231210
510031004220030
6324123111232
743012010144
oct11250055544
93206810772
101252023140
11592809575
122ab372518
1316c50a6c4
14bc3d2924
1574db4c45
hex4aa05b64

1252023140 has 72 divisors (see below), whose sum is σ = 2807384832. Its totient is φ = 468928000.

The previous prime is 1252023139. The next prime is 1252023151. The reversal of 1252023140 is 413202521.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1450349 + ... + 1451211.

It is an arithmetic number, because the mean of its divisors is an integer number (38991456).

Almost surely, 21252023140 is an apocalyptic number.

1252023140 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 1252023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403692416).

1252023140 is an abundant number, since it is smaller than the sum of its proper divisors (1555361692).

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

1252023140 is a wasteful number, since it uses less digits than its factorization.

1252023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1138 counting only the distinct ones).

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

The square root of 1252023140 is about 35383.9390119303. The cubic root of 1252023140 is about 1077.7981948243.

Adding to 1252023140 its reverse (413202521), we get a palindrome (1665225661).

The spelling of 1252023140 in words is "one billion, two hundred fifty-two million, twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 251 289 340 502 578 863 1004 1156 1255 1445 1726 2510 2890 3452 4267 4315 5020 5780 8534 8630 14671 17068 17260 21335 29342 42670 58684 72539 73355 85340 145078 146710 216613 249407 290156 293420 362695 433226 498814 725390 866452 997628 1083065 1247035 1450780 2166130 2494070 3682421 4332260 4988140 7364842 14729684 18412105 36824210 62601157 73648420 125202314 250404628 313005785 626011570 1252023140