Search a number
-
+
127194240 = 2735312137
BaseRepresentation
bin1111001010011…
…01010010000000
322212100010200210
413211031102000
5230030203430
620342114120
73103063455
oct745152200
9285303623
10127194240
1165885a08
123671b940
1320475684
1412c6d82c
15b2772b0
hex794d480

127194240 has 128 divisors (see below), whose sum is σ = 418705920. Its totient is φ = 32808960.

The previous prime is 127194239. The next prime is 127194241. The reversal of 127194240 is 42491721.

It is an interprime number because it is at equal distance from previous prime (127194239) and next prime (127194241).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 127194198 and 127194207.

It is not an unprimeable number, because it can be changed into a prime (127194241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58452 + ... + 60588.

It is an arithmetic number, because the mean of its divisors is an integer number (3271140).

Almost surely, 2127194240 is an apocalyptic number.

127194240 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 127194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209352960).

127194240 is an abundant number, since it is smaller than the sum of its proper divisors (291511680).

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

127194240 is a wasteful number, since it uses less digits than its factorization.

127194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 127194240 is about 11278.0423833217. The cubic root of 127194240 is about 502.9086994561.

The spelling of 127194240 in words is "one hundred twenty-seven million, one hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2137 2480 2976 3720 3968 4274 4960 5952 6411 7440 8548 9920 10685 11904 12822 14880 17096 19840 21370 25644 29760 32055 34192 42740 51288 59520 64110 66247 68384 85480 102576 128220 132494 136768 170960 198741 205152 256440 264988 273536 331235 341920 397482 410304 512880 529976 662470 683840 794964 820608 993705 1025760 1059952 1324940 1367680 1589928 1987410 2051520 2119904 2649880 3179856 3974820 4103040 4239808 5299760 6359712 7949640 8479616 10599520 12719424 15899280 21199040 25438848 31798560 42398080 63597120 127194240