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40147080 = 2335734583
BaseRepresentation
bin1001100100100…
…1100010001000
32210112200102220
42121021202020
540234201310
63552254040
7665146611
oct231114210
983480386
1040147080
1120731106
1211541320
13841878c
145490c08
1537d0670
hex2649888

40147080 has 64 divisors (see below), whose sum is σ = 122117760. Its totient is φ = 10556928.

The previous prime is 40147073. The next prime is 40147087. The reversal of 40147080 is 8074104.

It is an interprime number because it is at equal distance from previous prime (40147073) and next prime (40147087).

It is a super-2 number, since 2×401470802 = 3223576065052800, 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 40147080.

It is not an unprimeable number, because it can be changed into a prime (40147087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6469 + ... + 11051.

It is an arithmetic number, because the mean of its divisors is an integer number (1908090).

Almost surely, 240147080 is an apocalyptic number.

40147080 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 40147080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61058880).

40147080 is an abundant number, since it is smaller than the sum of its proper divisors (81970680).

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

40147080 is a wasteful number, since it uses less digits than its factorization.

40147080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 40147080 is about 6336.1723461408. The cubic root of 40147080 is about 342.4138487207.

The spelling of 40147080 in words is "forty million, one hundred forty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 4583 8760 9166 13749 18332 22915 27498 36664 45830 54996 68745 91660 109992 137490 183320 274980 334559 549960 669118 1003677 1338236 1672795 2007354 2676472 3345590 4014708 5018385 6691180 8029416 10036770 13382360 20073540 40147080