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67738140 = 22335125441
BaseRepresentation
bin1000000100110…
…01101000011100
311201110110021000
410002121220130
5114320110030
610415510300
71451523201
oct402315034
9151413230
1067738140
1135266738
121a828390
1311059152
148dd3ca8
155e30860
hex4099a1c

67738140 has 48 divisors (see below), whose sum is σ = 210742560. Its totient is φ = 18063360.

The previous prime is 67738133. The next prime is 67738199. The reversal of 67738140 is 4183776.

It is a super-2 number, since 2×677381402 = 9176911221319200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 67738095 and 67738104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62181 + ... + 63260.

It is an arithmetic number, because the mean of its divisors is an integer number (4390470).

Almost surely, 267738140 is an apocalyptic number.

67738140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67738140 is an abundant number, since it is smaller than the sum of its proper divisors (143004420).

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

67738140 is a wasteful number, since it uses less digits than its factorization.

67738140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125459 (or 125451 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 67738140 is about 8230.3183413523. The cubic root of 67738140 is about 407.6409037617.

The spelling of 67738140 in words is "sixty-seven million, seven hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 125441 250882 376323 501764 627205 752646 1128969 1254410 1505292 1881615 2257938 2508820 3386907 3763230 4515876 5644845 6773814 7526460 11289690 13547628 16934535 22579380 33869070 67738140