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1252053120 = 2735679733
BaseRepresentation
bin100101010100000…
…1101000010000000
310020020221212222210
41022220031002000
510031011144440
6324123502120
743012163433
oct11250150200
93206855883
101252053120
1159282a04a
122ab387940
1316c51b246
14bc3dd81a
1574dbda80
hex4aa0d080

1252053120 has 128 divisors (see below), whose sum is σ = 4050901440. Its totient is φ = 328863744.

The previous prime is 1252053031. The next prime is 1252053151. The reversal of 1252053120 is 213502521.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123774 + ... + 133506.

Almost surely, 21252053120 is an apocalyptic number.

1252053120 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 1252053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025450720).

1252053120 is an abundant number, since it is smaller than the sum of its proper divisors (2798848320).

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

1252053120 is an equidigital number, since it uses as much as digits as its factorization.

1252053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1252053120 is about 35384.3626479268. The cubic root of 1252053120 is about 1077.8067974693.

Adding to 1252053120 its reverse (213502521), we get a palindrome (1465555641).

The spelling of 1252053120 in words is "one billion, two hundred fifty-two million, fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 268 320 335 384 402 480 536 640 670 804 960 1005 1072 1340 1608 1920 2010 2144 2680 3216 4020 4288 5360 6432 8040 8576 9733 10720 12864 16080 19466 21440 25728 29199 32160 38932 42880 48665 58398 64320 77864 97330 116796 128640 145995 155728 194660 233592 291990 311456 389320 467184 583980 622912 652111 778640 934368 1167960 1245824 1304222 1557280 1868736 1956333 2335920 2608444 3114560 3260555 3737472 3912666 4671840 5216888 6229120 6521110 7825332 9343680 9781665 10433776 13042220 15650664 18687360 19563330 20867552 26084440 31301328 39126660 41735104 52168880 62602656 78253320 83470208 104337760 125205312 156506640 208675520 250410624 313013280 417351040 626026560 1252053120