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67480000 = 26547241
BaseRepresentation
bin1000000010110…
…10100111000000
311200222100011021
410001122213000
5114233330000
610410155224
71446366460
oct401324700
9150870137
1067480000
11350aa7a5
121a722b14
1310c987c3
148d67ba0
155dce11a
hex405a9c0

67480000 has 140 divisors (see below), whose sum is σ = 192026032. Its totient is φ = 23040000.

The previous prime is 67479967. The next prime is 67480009. The reversal of 67480000 is 8476.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67480009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279880 + ... + 280120.

Almost surely, 267480000 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 67480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96013016).

67480000 is an abundant number, since it is smaller than the sum of its proper divisors (124546032).

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

67480000 is an equidigital number, since it uses as much as digits as its factorization.

67480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 67480000 is about 8214.6211111651. The cubic root of 67480000 is about 407.1224249225.

Adding to 67480000 its reverse (8476), we get a palindrome (67488476).

The spelling of 67480000 in words is "sixty-seven million, four hundred eighty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 241 250 280 320 350 400 448 482 500 560 625 700 800 875 964 1000 1120 1205 1250 1400 1600 1687 1750 1928 2000 2240 2410 2500 2800 3374 3500 3856 4000 4375 4820 5000 5600 6025 6748 7000 7712 8000 8435 8750 9640 10000 11200 12050 13496 14000 15424 16870 17500 19280 20000 24100 26992 28000 30125 33740 35000 38560 40000 42175 48200 53984 56000 60250 67480 70000 77120 84350 96400 107968 120500 134960 140000 150625 168700 192800 210875 241000 269920 280000 301250 337400 385600 421750 482000 539840 602500 674800 843500 964000 1054375 1205000 1349600 1687000 1928000 2108750 2410000 2699200 3374000 4217500 4820000 6748000 8435000 9640000 13496000 16870000 33740000 67480000