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1140521200 = 245271331333
BaseRepresentation
bin100001111111010…
…1111100011110000
32221111002110221221
41003332233203300
54313433134300
6305101154424
740156161460
oct10376574360
92844073857
101140521200
11535881505
12279b5ba14
1315239a820
14ab689ba0
156a1dc31a
hex43faf8f0

1140521200 has 120 divisors (see below), whose sum is σ = 3372541088. Its totient is φ = 360944640.

The previous prime is 1140521197. The next prime is 1140521203. The reversal of 1140521200 is 21250411.

It is an interprime number because it is at equal distance from previous prime (1140521197) and next prime (1140521203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140521203) 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, 20734 + ... + 52066.

Almost surely, 21140521200 is an apocalyptic number.

1140521200 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 1140521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686270544).

1140521200 is an abundant number, since it is smaller than the sum of its proper divisors (2232019888).

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

1140521200 is a wasteful number, since it uses less digits than its factorization.

1140521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31371 (or 31360 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1140521200 is about 33771.6034561583. The cubic root of 1140521200 is about 1044.8031038574.

Adding to 1140521200 its reverse (21250411), we get a palindrome (1161771611).

The spelling of 1140521200 in words is "one billion, one hundred forty million, five hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 31333 36400 62666 125332 156665 219331 250664 313330 407329 438662 501328 626660 783325 814658 877324 1096655 1253320 1566650 1629316 1754648 2036645 2193310 2506640 2851303 3133300 3258632 3509296 4073290 4386620 5483275 5702606 6266600 6517264 8146580 8773240 10183225 10966550 11405212 12533200 14256515 16293160 17546480 20366450 21933100 22810424 28513030 32586320 40732900 43866200 45620848 57026060 71282575 81465800 87732400 114052120 142565150 162931600 228104240 285130300 570260600 1140521200