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67242480 = 24351716481
BaseRepresentation
bin1000000001000…
…00100111110000
311200112021100020
410000200213300
5114203224410
610401123440
71444360134
oct400404760
9150467306
1067242480
1134a582a8
121a629580
1310c14666
148d053c4
155d83a70
hex40209f0

67242480 has 80 divisors (see below), whose sum is σ = 220726944. Its totient is φ = 16875520.

The previous prime is 67242479. The next prime is 67242481. The reversal of 67242480 is 8424276.

It is an interprime number because it is at equal distance from previous prime (67242479) and next prime (67242481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×672424802 = 9043102233100800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67242481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4161 + ... + 12320.

Almost surely, 267242480 is an apocalyptic number.

67242480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67242480 is an abundant number, since it is smaller than the sum of its proper divisors (153484464).

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

67242480 is a wasteful number, since it uses less digits than its factorization.

67242480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16514 (or 16508 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 67242480 is about 8200.1512181179. The cubic root of 67242480 is about 406.6441923738.

The spelling of 67242480 in words is "sixty-seven million, two hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 16481 32962 49443 65924 82405 98886 131848 164810 197772 247215 263696 280177 329620 395544 494430 560354 659240 791088 840531 988860 1120708 1318480 1400885 1681062 1977720 2241416 2801770 3362124 3955440 4202655 4482832 5603540 6724248 8405310 11207080 13448496 16810620 22414160 33621240 67242480