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40400670 = 23517372141
BaseRepresentation
bin1001101000011…
…1011100011110
32211000120022010
42122013130132
540320310140
64001532050
71000254132
oct232073436
984016263
1040400670
1120894692
1211644026
1384a702b
1455193c2
153830880
hex268771e

40400670 has 64 divisors (see below), whose sum is σ = 105489216. Its totient is φ = 9861120.

The previous prime is 40400603. The next prime is 40400713. The reversal of 40400670 is 7600404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17800 + ... + 19940.

It is an arithmetic number, because the mean of its divisors is an integer number (1648269).

Almost surely, 240400670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52744608).

40400670 is an abundant number, since it is smaller than the sum of its proper divisors (65088546).

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

40400670 is a wasteful number, since it uses less digits than its factorization.

40400670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40400670 is about 6356.1521378897. The cubic root of 40400670 is about 343.1332911623.

The spelling of 40400670 in words is "forty million, four hundred thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 510 555 629 1110 1258 1887 2141 3145 3774 4282 6290 6423 9435 10705 12846 18870 21410 32115 36397 64230 72794 79217 109191 158434 181985 218382 237651 363970 396085 475302 545955 792170 1091910 1188255 1346689 2376510 2693378 4040067 6733445 8080134 13466890 20200335 40400670