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1140131700 = 22355246919
BaseRepresentation
bin100001111110101…
…0000011101110100
32221110100200200000
41003331100131310
54313333203300
6305044551300
740152650061
oct10375203564
92843320600
101140131700
11535635904
122799b2530
13152292456
14ab5c7c68
156a161c00
hex43f50774

1140131700 has 108 divisors (see below), whose sum is σ = 3706116960. Its totient is φ = 304028640.

The previous prime is 1140131683. The next prime is 1140131719. The reversal of 1140131700 is 71310411.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 841 + ... + 47759.

Almost surely, 21140131700 is an apocalyptic number.

1140131700 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 1140131700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853058480).

1140131700 is an abundant number, since it is smaller than the sum of its proper divisors (2565985260).

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

1140131700 is a wasteful number, since it uses less digits than its factorization.

1140131700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46948 (or 46929 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1140131700 is about 33765.8362846235. The cubic root of 1140131700 is about 1044.6841532280.

The spelling of 1140131700 in words is "one billion, one hundred forty million, one hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 46919 93838 140757 187676 234595 281514 422271 469190 563028 703785 844542 938380 1172975 1266813 1407570 1689084 2111355 2345950 2533626 2815140 3518925 3800439 4222710 4691900 5067252 6334065 7037850 7600878 8445420 10556775 11401317 12668130 14075700 15201756 19002195 21113550 22802634 25336260 31670325 38004390 42227100 45605268 57006585 63340650 76008780 95010975 114013170 126681300 190021950 228026340 285032925 380043900 570065850 1140131700