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407058140 = 225231814889
BaseRepresentation
bin11000010000110…
…011011011011100
31001100221200210102
4120100303123130
51313201330030
6104220400232
713041636266
oct3020633334
91040850712
10407058140
11199856895
12b43a6078
1366443108
143c0c0b36
1525b09c45
hex184336dc

407058140 has 48 divisors (see below), whose sum is σ = 897099840. Its totient is φ = 154851840.

The previous prime is 407058137. The next prime is 407058187. The reversal of 407058140 is 41850704.

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, 80816 + ... + 85704.

It is an arithmetic number, because the mean of its divisors is an integer number (18689580).

Almost surely, 2407058140 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 407058140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448549920).

407058140 is an abundant number, since it is smaller than the sum of its proper divisors (490041700).

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

407058140 is a wasteful number, since it uses less digits than its factorization.

407058140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 407058140 is about 20175.6818967786. The cubic root of 407058140 is about 741.1147916280.

The spelling of 407058140 in words is "four hundred seven million, fifty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 181 230 362 460 724 905 1810 3620 4163 4889 8326 9778 16652 19556 20815 24445 41630 48890 83260 97780 112447 224894 449788 562235 884909 1124470 1769818 2248940 3539636 4424545 8849090 17698180 20352907 40705814 81411628 101764535 203529070 407058140