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67030480 = 24511192211
BaseRepresentation
bin1111111110110…
…0110111010000
311200010111112101
43333230313100
5114124433410
610352410144
71442515066
oct377546720
9150114471
1067030480
1134922aa0
121a546954
1310b6c00a
148c8c036
155d40d3a
hex3fecdd0

67030480 has 120 divisors (see below), whose sum is σ = 180283104. Its totient is φ = 22982400.

The previous prime is 67030451. The next prime is 67030501. The reversal of 67030480 is 8403076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317575 + ... + 317785.

Almost surely, 267030480 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 67030480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90141552).

67030480 is an abundant number, since it is smaller than the sum of its proper divisors (113252624).

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

67030480 is a wasteful number, since it uses less digits than its factorization.

67030480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 67030480 is about 8187.2144225005. The cubic root of 67030480 is about 406.2163907501.

The spelling of 67030480 in words is "sixty-seven million, thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 211 220 304 361 380 418 422 440 722 760 836 844 880 1045 1055 1444 1520 1672 1688 1805 2090 2110 2321 2888 3344 3376 3610 3971 4009 4180 4220 4642 5776 7220 7942 8018 8360 8440 9284 11605 14440 15884 16036 16720 16880 18568 19855 20045 23210 28880 31768 32072 37136 39710 40090 44099 46420 63536 64144 76171 79420 80180 88198 92840 152342 158840 160360 176396 185680 220495 304684 317680 320720 352792 380855 440990 609368 705584 761710 837881 881980 1218736 1523420 1675762 1763960 3046840 3351524 3527920 4189405 6093680 6703048 8378810 13406096 16757620 33515240 67030480