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67090680 = 2334520707
BaseRepresentation
bin1111111111101…
…1100011111000
311200020120010000
43333323203320
5114133400210
610353553000
71443155436
oct377734370
9150216100
1067090680
1134964248
121a575760
1310b90537
148ca5d56
155d53ac0
hex3ffb8f8

67090680 has 80 divisors (see below), whose sum is σ = 225510120. Its totient is φ = 17889984.

The previous prime is 67090679. The next prime is 67090693. The reversal of 67090680 is 8609076.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7114 + ... + 13593.

Almost surely, 267090680 is an apocalyptic number.

67090680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67090680 is an abundant number, since it is smaller than the sum of its proper divisors (158419440).

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

67090680 is a wasteful number, since it uses less digits than its factorization.

67090680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20730 (or 20717 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 67090680 is about 8190.8900615257. The cubic root of 67090680 is about 406.3379618603.

The spelling of 67090680 in words is "sixty-seven million, ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 20707 41414 62121 82828 103535 124242 165656 186363 207070 248484 310605 372726 414140 496968 559089 621210 745452 828280 931815 1118178 1242420 1490904 1677267 1863630 2236356 2484840 2795445 3354534 3727260 4472712 5590890 6709068 7454520 8386335 11181780 13418136 16772670 22363560 33545340 67090680