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40149360 = 2432555763
BaseRepresentation
bin1001100100101…
…0000101110000
32210112210120100
42121022011300
540234234420
63552312400
7665156346
oct231120560
983483510
1040149360
1120732899
1211542700
138419824
145491996
1537d1190
hex264a170

40149360 has 60 divisors (see below), whose sum is σ = 134837352. Its totient is φ = 10706304.

The previous prime is 40149353. The next prime is 40149379. The reversal of 40149360 is 6394104.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×401493602 = 3223942216819200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27162 + ... + 28601.

Almost surely, 240149360 is an apocalyptic number.

40149360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40149360 is an abundant number, since it is smaller than the sum of its proper divisors (94687992).

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

40149360 is a wasteful number, since it uses less digits than its factorization.

40149360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55782 (or 55773 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40149360 is about 6336.3522629349. The cubic root of 40149360 is about 342.4203306267.

The spelling of 40149360 in words is "forty million, one hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 55763 111526 167289 223052 278815 334578 446104 501867 557630 669156 836445 892208 1003734 1115260 1338312 1672890 2007468 2230520 2509335 2676624 3345780 4014936 4461040 5018670 6691560 8029872 10037340 13383120 20074680 40149360