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40998420 = 22335233301
BaseRepresentation
bin1001110001100…
…1011000010100
32212010221021000
42130121120110
540443422140
64022423300
71005323631
oct234313024
985127230
1040998420
11211627a1
1211891b30
138656128
145633188
1538eca30
hex2719614

40998420 has 96 divisors (see below), whose sum is σ = 133136640. Its totient is φ = 10454400.

The previous prime is 40998403. The next prime is 40998421. The reversal of 40998420 is 2489904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40998421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10770 + ... + 14070.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 240998420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40998420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

40998420 is an abundant number, since it is smaller than the sum of its proper divisors (92138220).

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

40998420 is a wasteful number, since it uses less digits than its factorization.

40998420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40998420 is about 6403.0008589723. Note that the first 3 decimals coincide. The cubic root of 40998420 is about 344.8172945641.

The spelling of 40998420 in words is "forty million, nine hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 3301 4140 6210 6602 9903 12420 13204 16505 19806 29709 33010 39612 49515 59418 66020 75923 89127 99030 118836 148545 151846 178254 198060 227769 297090 303692 356508 379615 445635 455538 594180 683307 759230 891270 911076 1138845 1366614 1518460 1782540 2049921 2277690 2733228 3416535 4099842 4555380 6833070 8199684 10249605 13666140 20499210 40998420