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27406040 = 2351741983
BaseRepresentation
bin110100010001…
…0111011011000
31220120101000112
41220202323120
524003443130
62415223452
7451642664
oct150427330
956511015
1027406040
1114519622
129217b88
1358a73bc
1438d58a4
152615495
hex1a22ed8

27406040 has 64 divisors (see below), whose sum is σ = 66951360. Its totient is φ = 10055680.

The previous prime is 27406039. The next prime is 27406051. The reversal of 27406040 is 4060472.

It is a junction number, because it is equal to n+sod(n) for n = 27405997 and 27406015.

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, 27389 + ... + 28371.

It is an arithmetic number, because the mean of its divisors is an integer number (1046115).

Almost surely, 227406040 is an apocalyptic number.

27406040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33475680).

27406040 is an abundant number, since it is smaller than the sum of its proper divisors (39545320).

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

27406040 is a wasteful number, since it uses less digits than its factorization.

27406040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 27406040 is about 5235.0778408730. The cubic root of 27406040 is about 301.4963756420.

The spelling of 27406040 in words is "twenty-seven million, four hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 983 1394 1640 1966 2788 3485 3932 4915 5576 6970 7864 9830 13940 16711 19660 27880 33422 39320 40303 66844 80606 83555 133688 161212 167110 201515 322424 334220 403030 668440 685151 806060 1370302 1612120 2740604 3425755 5481208 6851510 13703020 27406040