Search a number
-
+
131140720 = 24517211457
BaseRepresentation
bin1111101000100…
…00110001110000
3100010202122020201
413310100301300
5232033000340
621002444544
73151451314
oct764206160
9303678221
10131140720
1168030a67
1237b03754
1321227a79
14135b9b44
15b7a679a
hex7d10c70

131140720 has 80 divisors (see below), whose sum is σ = 325077408. Its totient is φ = 49029120.

The previous prime is 131140649. The next prime is 131140727. The reversal of 131140720 is 27041131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131140727) 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, 286732 + ... + 287188.

Almost surely, 2131140720 is an apocalyptic number.

131140720 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 131140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162538704).

131140720 is an abundant number, since it is smaller than the sum of its proper divisors (193936688).

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

131140720 is a wasteful number, since it uses less digits than its factorization.

131140720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 131140720 is about 11451.6688740113. The cubic root of 131140720 is about 508.0570956968.

Adding to 131140720 its reverse (27041131), we get a palindrome (158181851).

The spelling of 131140720 in words is "one hundred thirty-one million, one hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 211 272 340 422 457 680 844 914 1055 1360 1688 1828 2110 2285 3376 3587 3656 4220 4570 7174 7312 7769 8440 9140 14348 15538 16880 17935 18280 28696 31076 35870 36560 38845 57392 62152 71740 77690 96427 124304 143480 155380 192854 286960 310760 385708 482135 621520 771416 964270 1542832 1639259 1928540 3278518 3857080 6557036 7714160 8196295 13114072 16392590 26228144 32785180 65570360 131140720