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1052025300 = 2233523112569
BaseRepresentation
bin111110101101001…
…010000111010100
32201022120102102000
4332231022013110
54123304302200
6252220315300
735033032104
oct7655120724
92638512360
101052025300
1149a9281a7
122543a2b30
13139c543a1
149da11204
156255b300
hex3eb4a1d4

1052025300 has 144 divisors (see below), whose sum is σ = 3491443200. Its totient is φ = 271468800.

The previous prime is 1052025287. The next prime is 1052025319. The reversal of 1052025300 is 35202501.

It is a happy number.

It is a super-2 number, since 2×10520253002 = 2213514463680180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77416 + ... + 89984.

Almost surely, 21052025300 is an apocalyptic number.

1052025300 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 1052025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745721600).

1052025300 is an abundant number, since it is smaller than the sum of its proper divisors (2439417900).

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

1052025300 is a wasteful number, since it uses less digits than its factorization.

1052025300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12623 (or 12610 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1052025300 is about 32434.9394943169. The cubic root of 1052025300 is about 1017.0494315563.

Adding to 1052025300 its reverse (35202501), we get a palindrome (1087227801).

The spelling of 1052025300 in words is "one billion, fifty-two million, twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 60 62 75 90 93 100 108 124 135 150 155 180 186 225 270 279 300 310 372 450 465 540 558 620 675 775 837 900 930 1116 1350 1395 1550 1674 1860 2325 2700 2790 3100 3348 4185 4650 5580 6975 8370 9300 12569 13950 16740 20925 25138 27900 37707 41850 50276 62845 75414 83700 113121 125690 150828 188535 226242 251380 314225 339363 377070 389639 452484 565605 628450 678726 754140 779278 942675 1131210 1168917 1256900 1357452 1558556 1696815 1885350 1948195 2262420 2337834 2828025 3393630 3506751 3770700 3896390 4675668 5656050 5844585 6787260 7013502 7792780 8484075 9740975 10520253 11312100 11689170 14027004 16968150 17533755 19481950 21040506 23378340 29222925 33936300 35067510 38963900 42081012 52601265 58445850 70135020 87668775 105202530 116891700 175337550 210405060 263006325 350675100 526012650 1052025300