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40145400 = 23325222303
BaseRepresentation
bin1001100100100…
…1000111111000
32210112121010200
42121021013320
540234123100
63552242200
7665141661
oct231110770
983477120
1040145400
112072a919
1211540360
138417a99
145490368
1537cee00
hex26491f8

40145400 has 72 divisors (see below), whose sum is σ = 134827680. Its totient is φ = 10704960.

The previous prime is 40145389. The next prime is 40145411. The reversal of 40145400 is 454104.

It is an interprime number because it is at equal distance from previous prime (40145389) and next prime (40145411).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×401454002 = 3223306282320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9352 + ... + 12951.

Almost surely, 240145400 is an apocalyptic number.

40145400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40145400 is an abundant number, since it is smaller than the sum of its proper divisors (94682280).

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

40145400 is a wasteful number, since it uses less digits than its factorization.

40145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22325 (or 22313 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40145400 is about 6336.0397726024. The cubic root of 40145400 is about 342.4090724224.

Adding to 40145400 its reverse (454104), we get a palindrome (40599504).

The spelling of 40145400 in words is "forty million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 22303 44606 66909 89212 111515 133818 178424 200727 223030 267636 334545 401454 446060 535272 557575 669090 802908 892120 1003635 1115150 1338180 1605816 1672725 2007270 2230300 2676360 3345450 4014540 4460600 5018175 6690900 8029080 10036350 13381800 20072700 40145400