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40186890 = 23251014421
BaseRepresentation
bin1001100101001…
…1010000001010
32210121201001100
42121103100022
540241440030
63553202230
7665403642
oct231232012
983551040
1040186890
1120759007
1211560376
138430933
1454a1522
1537dc360
hex265340a

40186890 has 48 divisors (see below), whose sum is σ = 105544296. Its totient is φ = 10608000.

The previous prime is 40186889. The next prime is 40186891. The reversal of 40186890 is 9868104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40186889) and next prime (40186891).

It can be written as a sum of positive squares in 4 ways, for example, as 40182921 + 3969 = 6339^2 + 63^2 .

It is a super-2 number, since 2×401868902 = 3229972255744200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40186891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6880 + ... + 11300.

Almost surely, 240186890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40186890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52772148).

40186890 is an abundant number, since it is smaller than the sum of its proper divisors (65357406).

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

40186890 is a wasteful number, since it uses less digits than its factorization.

40186890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 40186890 is about 6339.3130542670. The cubic root of 40186890 is about 342.5269909643.

The spelling of 40186890 in words is "forty million, one hundred eighty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4421 4545 8842 9090 13263 22105 26526 39789 44210 66315 79578 132630 198945 397890 446521 893042 1339563 2232605 2679126 4018689 4465210 6697815 8037378 13395630 20093445 40186890