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40128720 = 2435374519
BaseRepresentation
bin1001100100010…
…1000011010000
32210111202020220
42121011003100
540233104340
63552033040
7665042232
oct231050320
983452226
1040128720
1120719335
1211532780
138410308
145488252
1537c9ed0
hex26450d0

40128720 has 80 divisors (see below), whose sum is σ = 127789440. Its totient is φ = 10409472.

The previous prime is 40128719. The next prime is 40128731. The reversal of 40128720 is 2782104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401287202 = 3220628337676800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6621 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (1597368).

Almost surely, 240128720 is an apocalyptic number.

40128720 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 40128720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63894720).

40128720 is an abundant number, since it is smaller than the sum of its proper divisors (87660720).

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

40128720 is a wasteful number, since it uses less digits than its factorization.

40128720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4566 counting only the distinct ones).

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

The square root of 40128720 is about 6334.7233562327. The cubic root of 40128720 is about 342.3616433727.

The spelling of 40128720 in words is "forty million, one hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 4519 8880 9038 13557 18076 22595 27114 36152 45190 54228 67785 72304 90380 108456 135570 167203 180760 216912 271140 334406 361520 501609 542280 668812 836015 1003218 1084560 1337624 1672030 2006436 2508045 2675248 3344060 4012872 5016090 6688120 8025744 10032180 13376240 20064360 40128720