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307660140 = 223351015641
BaseRepresentation
bin10010010101101…
…000010101101100
3210102220202101000
4102111220111230
51112230111030
650310120300
710424032224
oct2225502554
9712822330
10307660140
11148736687
1287050090
134b980628
142cc09084
151c023860
hex1256856c

307660140 has 96 divisors (see below), whose sum is σ = 966813120. Its totient is φ = 81216000.

The previous prime is 307660139. The next prime is 307660147. The reversal of 307660140 is 41066703.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (307660147) 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 31 ways as a sum of consecutive naturals, for example, 51720 + ... + 57360.

It is an arithmetic number, because the mean of its divisors is an integer number (10070970).

Almost surely, 2307660140 is an apocalyptic number.

307660140 is a gapful number since it is divisible by the number (30) 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 307660140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483406560).

307660140 is an abundant number, since it is smaller than the sum of its proper divisors (659152980).

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

307660140 is a wasteful number, since it uses less digits than its factorization.

307660140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 307660140 is about 17540.2434418682. The cubic root of 307660140 is about 675.0828540271.

The spelling of 307660140 in words is "three hundred seven million, six hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4545 5454 5641 6060 9090 10908 11282 13635 16923 18180 22564 27270 28205 33846 50769 54540 56410 67692 84615 101538 112820 152307 169230 203076 253845 304614 338460 507690 569741 609228 761535 1015380 1139482 1523070 1709223 2278964 2848705 3046140 3418446 5127669 5697410 6836892 8546115 10255338 11394820 15383007 17092230 20510676 25638345 30766014 34184460 51276690 61532028 76915035 102553380 153830070 307660140