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1140120500 = 225329611289
BaseRepresentation
bin100001111110100…
…1101101110110100
32221110100010022012
41003331031232310
54313332324000
6305044423352
740152602321
oct10375155664
92843303265
101140120500
11535628452
122799a7b58
1315228a31c
14ab5c3b48
156a15d735
hex43f4dbb4

1140120500 has 96 divisors (see below), whose sum is σ = 2620144800. Its totient is φ = 432768000.

The previous prime is 1140120491. The next prime is 1140120503. The reversal of 1140120500 is 50210411.

It can be written as a sum of positive squares in 16 ways, for example, as 923795236 + 216325264 = 30394^2 + 14708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140120503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883856 + ... + 885144.

It is an arithmetic number, because the mean of its divisors is an integer number (27293175).

Almost surely, 21140120500 is an apocalyptic number.

1140120500 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 1140120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310072400).

1140120500 is an abundant number, since it is smaller than the sum of its proper divisors (1480024300).

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

1140120500 is a wasteful number, since it uses less digits than its factorization.

1140120500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1140120500 is about 33765.6704361101. The cubic root of 1140120500 is about 1044.6807324241.

Adding to 1140120500 its reverse (50210411), we get a palindrome (1190330911).

The spelling of 1140120500 in words is "one billion, one hundred forty million, one hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 61 100 116 122 125 145 244 250 290 305 500 580 610 725 1220 1289 1450 1525 1769 2578 2900 3050 3538 3625 5156 6100 6445 7076 7250 7625 8845 12890 14500 15250 17690 25780 30500 32225 35380 37381 44225 64450 74762 78629 88450 128900 149524 157258 161125 176900 186905 221125 314516 322250 373810 393145 442250 644500 747620 786290 884500 934525 1572580 1869050 1965725 2280241 3738100 3931450 4560482 4672625 7862900 9120964 9345250 9828625 11401205 18690500 19657250 22802410 39314500 45604820 57006025 114012050 228024100 285030125 570060250 1140120500