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40030720 = 29519823
BaseRepresentation
bin1001100010110…
…1001000000000
32210022202211021
42120231020000
540221440340
63545555224
7664153432
oct230551000
983282737
1040030720
1120661744
12114a5b14
1383a7822
145460652
1537aae4a
hex262d200

40030720 has 80 divisors (see below), whose sum is σ = 101154240. Its totient is φ = 15151104.

The previous prime is 40030717. The next prime is 40030751. The reversal of 40030720 is 2703004.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 40030694 and 40030703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48229 + ... + 49051.

It is an arithmetic number, because the mean of its divisors is an integer number (1264428).

Almost surely, 240030720 is an apocalyptic number.

40030720 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 40030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50577120).

40030720 is an abundant number, since it is smaller than the sum of its proper divisors (61123520).

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

40030720 is an equidigital number, since it uses as much as digits as its factorization.

40030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 40030720 is about 6326.9834834619. The cubic root of 40030720 is about 342.0827177004.

Adding to 40030720 its reverse (2703004), we get a palindrome (42733724).

The spelling of 40030720 in words is "forty million, thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 823 1216 1280 1520 1646 2432 2560 3040 3292 4115 4864 6080 6584 8230 9728 12160 13168 15637 16460 24320 26336 31274 32920 48640 52672 62548 65840 78185 105344 125096 131680 156370 210688 250192 263360 312740 421376 500384 526720 625480 1000768 1053440 1250960 2001536 2106880 2501920 4003072 5003840 8006144 10007680 20015360 40030720