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170131140 = 223254123053
BaseRepresentation
bin10100010001111…
…11111011000100
3102212010120001100
422020333323010
5322023144030
624514300100
74134043104
oct1210777304
9385116040
10170131140
1188042053
1248b87630
1329329c1a
1418849204
15ee09360
hexa23fec4

170131140 has 72 divisors (see below), whose sum is σ = 528674328. Its totient is φ = 44259840.

The previous prime is 170131133. The next prime is 170131147. The reversal of 170131140 is 41131071.

It is an interprime number because it is at equal distance from previous prime (170131133) and next prime (170131147).

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 164711556 = 2328^2 + 12834^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170131147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4147 + ... + 18906.

It is an arithmetic number, because the mean of its divisors is an integer number (7342699).

Almost surely, 2170131140 is an apocalyptic number.

170131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

170131140 is an abundant number, since it is smaller than the sum of its proper divisors (358543188).

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

170131140 is a wasteful number, since it uses less digits than its factorization.

170131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23109 (or 23104 counting only the distinct ones).

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

The square root of 170131140 is about 13043.4328303557. The cubic root of 170131140 is about 554.1082343149.

The spelling of 170131140 in words is "one hundred seventy million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 23053 46106 69159 92212 115265 138318 207477 230530 276636 345795 414954 461060 691590 829908 945173 1037385 1383180 1890346 2074770 2835519 3780692 4149540 4725865 5671038 8506557 9451730 11342076 14177595 17013114 18903460 28355190 34026228 42532785 56710380 85065570 170131140