Search a number
-
+
131274440 = 23511616773
BaseRepresentation
bin1111101001100…
…01011011001000
3100011000102200022
413310301123020
5232101240230
621005400012
73152546213
oct764613310
9304012608
10131274440
1168112480
1237b69008
13212738ab
141361277a
15b7d11e5
hex7d316c8

131274440 has 128 divisors (see below), whose sum is σ = 336942720. Its totient is φ = 45619200.

The previous prime is 131274433. The next prime is 131274461. The reversal of 131274440 is 44472131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1798244 + ... + 1798316.

It is an arithmetic number, because the mean of its divisors is an integer number (2632365).

Almost surely, 2131274440 is an apocalyptic number.

131274440 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 131274440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168471360).

131274440 is an abundant number, since it is smaller than the sum of its proper divisors (205668280).

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

131274440 is a wasteful number, since it uses less digits than its factorization.

131274440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 131274440 is about 11457.5058367866. The cubic root of 131274440 is about 508.2297202300.

The spelling of 131274440 in words is "one hundred thirty-one million, two hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 67 73 88 110 122 134 146 220 244 268 292 305 335 365 440 488 536 584 610 670 671 730 737 803 1220 1340 1342 1460 1474 1606 2440 2680 2684 2920 2948 3212 3355 3685 4015 4087 4453 4891 5368 5896 6424 6710 7370 8030 8174 8906 9782 13420 14740 16060 16348 17812 19564 20435 22265 24455 26840 29480 32120 32696 35624 39128 40870 44530 44957 48910 48983 53801 81740 89060 89914 97820 97966 107602 163480 178120 179828 195640 195932 215204 224785 244915 269005 298351 359656 391864 430408 449570 489830 538010 596702 899140 979660 1076020 1193404 1491755 1798280 1959320 2152040 2386808 2983510 3281861 5967020 6563722 11934040 13127444 16409305 26254888 32818610 65637220 131274440