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5742180 = 22325192373
BaseRepresentation
bin10101111001111001100100
3101210201210100
4111321321210
52432222210
6323024100
766544023
oct25717144
911721710
105742180
113272204
121b0b030
131260852
14a968ba
157865c0
hex579e64

5742180 has 144 divisors (see below), whose sum is σ = 19393920. Its totient is φ = 1368576.

The previous prime is 5742169. The next prime is 5742181. The reversal of 5742180 is 812475.

It is not an unprimeable number, because it can be changed into a prime (5742181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78624 + ... + 78696.

It is an arithmetic number, because the mean of its divisors is an integer number (134680).

Almost surely, 25742180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696960).

5742180 is an abundant number, since it is smaller than the sum of its proper divisors (13651740).

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

5742180 is a wasteful number, since it uses less digits than its factorization.

5742180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5742180 is about 2396.2846241630. The cubic root of 5742180 is about 179.0711409534.

The spelling of 5742180 in words is "five million, seven hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 73 76 90 92 95 114 115 138 146 171 180 190 207 219 228 230 276 285 292 342 345 365 380 414 437 438 460 570 657 684 690 730 828 855 874 876 1035 1095 1140 1311 1314 1380 1387 1460 1679 1710 1748 2070 2185 2190 2622 2628 2774 3285 3358 3420 3933 4140 4161 4370 4380 5037 5244 5548 6555 6570 6716 6935 7866 8322 8395 8740 10074 12483 13110 13140 13870 15111 15732 16644 16790 19665 20148 20805 24966 25185 26220 27740 30222 31901 33580 39330 41610 49932 50370 60444 62415 63802 75555 78660 83220 95703 100740 124830 127604 151110 159505 191406 249660 287109 302220 319010 382812 478515 574218 638020 957030 1148436 1435545 1914060 2871090 5742180