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1152055520 = 25571128501
BaseRepresentation
bin100010010101010…
…1111100011100000
32222021210111001222
41010222233203200
54324411234040
6310152314212
740356211310
oct10452574340
92867714058
101152055520
1154133a400
122819a2968
131548a8875
14ad00d440
156b219bb5
hex44aaf8e0

1152055520 has 144 divisors (see below), whose sum is σ = 3419436384. Its totient is φ = 359040000.

The previous prime is 1152055483. The next prime is 1152055529. The reversal of 1152055520 is 255502511.

It is a self number, because there is not a number n which added to its sum of digits gives 1152055520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152055529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131270 + ... + 139770.

It is an arithmetic number, because the mean of its divisors is an integer number (23746086).

Almost surely, 21152055520 is an apocalyptic number.

1152055520 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 1152055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709718192).

1152055520 is an abundant number, since it is smaller than the sum of its proper divisors (2267380864).

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

1152055520 is a wasteful number, since it uses less digits than its factorization.

1152055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8545 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The square root of 1152055520 is about 33941.9433739437. The cubic root of 1152055520 is about 1048.3133981031.

The spelling of 1152055520 in words is "one billion, one hundred fifty-two million, fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 352 385 440 484 560 605 616 770 847 880 968 1120 1210 1232 1540 1694 1760 1936 2420 2464 3080 3388 3872 4235 4840 6160 6776 8470 8501 9680 12320 13552 16940 17002 19360 27104 33880 34004 42505 59507 67760 68008 85010 93511 119014 135520 136016 170020 187022 238028 272032 297535 340040 374044 467555 476056 595070 654577 680080 748088 935110 952112 1028621 1190140 1309154 1360160 1496176 1870220 1904224 2057242 2380280 2618308 2992352 3272885 3740440 4114484 4760560 5143105 5236616 6545770 7200347 7480880 8228968 9521120 10286210 10473232 13091540 14400694 14961760 16457936 20572420 20946464 26183080 28801388 32915872 36001735 41144840 52366160 57602776 72003470 82289680 104732320 115205552 144006940 164579360 230411104 288013880 576027760 1152055520