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67339020 = 22357672393
BaseRepresentation
bin1000000001110…
…00001100001100
311200201011202210
410000320030030
5114214322040
610403150420
71445241450
oct400701414
9150634683
1067339020
1135013891
121a675410
1310c49598
148d2c660
155da2480
hex403830c

67339020 has 96 divisors (see below), whose sum is σ = 218792448. Its totient is φ = 15155712.

The previous prime is 67338961. The next prime is 67339043. The reversal of 67339020 is 2093376.

It is a happy number.

It is a super-2 number, since 2×673390202 = 9069087229120800, which contains 22 as substring.

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

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, 26944 + ... + 29336.

It is an arithmetic number, because the mean of its divisors is an integer number (2279088).

Almost surely, 267339020 is an apocalyptic number.

67339020 is a gapful number since it is divisible by the number (60) 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 67339020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109396224).

67339020 is an abundant number, since it is smaller than the sum of its proper divisors (151453428).

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

67339020 is a wasteful number, since it uses less digits than its factorization.

67339020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 67339020 is about 8206.0355836421. The cubic root of 67339020 is about 406.8387056141.

It can be divided in two parts, 6733 and 9020, that added together give a triangular number (15753 = T177).

The spelling of 67339020 in words is "sixty-seven million, three hundred thirty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 804 938 1005 1340 1407 1876 2010 2345 2393 2814 4020 4690 4786 5628 7035 7179 9380 9572 11965 14070 14358 16751 23930 28140 28716 33502 35895 47860 50253 67004 71790 83755 100506 143580 160331 167510 201012 251265 320662 335020 480993 502530 641324 801655 961986 1005060 1122317 1603310 1923972 2244634 2404965 3206620 3366951 4489268 4809930 5611585 6733902 9619860 11223170 13467804 16834755 22446340 33669510 67339020