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40147440 = 24354092
BaseRepresentation
bin1001100100100…
…1100111110000
32210112200221020
42121021213300
540234204230
63552255440
7665150634
oct231114760
983480836
1040147440
1120731403
1211541580
1384189a8
145490dc4
1537d0810
hex26499f0

40147440 has 60 divisors (see below), whose sum is σ = 124762104. Its totient is φ = 10679808.

The previous prime is 40147433. The next prime is 40147441. The reversal of 40147440 is 4474104.

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

It is a super-2 number, since 2×401474402 = 3223633877107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40147440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40147441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97956 + ... + 98364.

Almost surely, 240147440 is an apocalyptic number.

40147440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62381052).

40147440 is an abundant number, since it is smaller than the sum of its proper divisors (84614664).

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

40147440 is an equidigital number, since it uses as much as digits as its factorization.

40147440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 40147440 is about 6336.2007543953. The cubic root of 40147440 is about 342.4148721959.

The spelling of 40147440 in words is "forty million, one hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 409 818 1227 1636 2045 2454 3272 4090 4908 6135 6544 8180 9816 12270 16360 19632 24540 32720 49080 98160 167281 334562 501843 669124 836405 1003686 1338248 1672810 2007372 2509215 2676496 3345620 4014744 5018430 6691240 8029488 10036860 13382480 20073720 40147440