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1140434120 = 235717239587
BaseRepresentation
bin100001111111001…
…1010010011001000
32221110221001111202
41003332122103020
54313422342440
6305055243332
740155346550
oct10376322310
92843831452
101140434120
11535822041
12279b19548
13152369cb7
14ab666160
156a1c1615
hex43f9a4c8

1140434120 has 64 divisors (see below), whose sum is σ = 3105060480. Its totient is φ = 368004096.

The previous prime is 1140434117. The next prime is 1140434123. The reversal of 1140434120 is 214340411.

It is an interprime number because it is at equal distance from previous prime (1140434117) and next prime (1140434123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1140434092 and 1140434101.

It is not an unprimeable number, because it can be changed into a prime (1140434123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115034 + ... + 124553.

It is an arithmetic number, because the mean of its divisors is an integer number (48516570).

Almost surely, 21140434120 is an apocalyptic number.

1140434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140434120 is an abundant number, since it is smaller than the sum of its proper divisors (1964626360).

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

1140434120 is a wasteful number, since it uses less digits than its factorization.

1140434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239622 (or 239618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1140434120 is about 33770.3141827256. The cubic root of 1140434120 is about 1044.7765125733.

Adding to 1140434120 its reverse (214340411), we get a palindrome (1354774531).

The spelling of 1140434120 in words is "one billion, one hundred forty million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 239587 479174 958348 1197935 1677109 1916696 2395870 3354218 4072979 4791740 6708436 8145958 8385545 9583480 13416872 16291916 16771090 20364895 28510853 32583832 33542180 40729790 57021706 67084360 81459580 114043412 142554265 162919160 228086824 285108530 570217060 1140434120