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40723830 = 2335729743
BaseRepresentation
bin1001101101011…
…0010101110110
32211121222121000
42123112111312
540411130310
64012504130
71003101240
oct233262566
984558530
1040723830
1120a95464
121177b046
13858b154
1455a1090
1538964c0
hex26d6576

40723830 has 128 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 8975232.

The previous prime is 40723829. The next prime is 40723843. The reversal of 40723830 is 3832704.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40723794 and 40723803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54439 + ... + 55181.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 240723830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40723830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

40723830 is an abundant number, since it is smaller than the sum of its proper divisors (87839370).

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

40723830 is a wasteful number, since it uses less digits than its factorization.

40723830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40723830 is about 6381.5225455999. The cubic root of 40723830 is about 344.0457562626.

The spelling of 40723830 in words is "forty million, seven hundred twenty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 29 30 35 42 45 54 58 63 70 87 90 105 126 135 145 174 189 203 210 261 270 290 315 378 406 435 522 609 630 743 783 870 945 1015 1218 1305 1486 1566 1827 1890 2030 2229 2610 3045 3654 3715 3915 4458 5201 5481 6090 6687 7430 7830 9135 10402 10962 11145 13374 15603 18270 20061 21547 22290 26005 27405 31206 33435 40122 43094 46809 52010 54810 64641 66870 78015 93618 100305 107735 129282 140427 150829 156030 193923 200610 215470 234045 280854 301658 323205 387846 452487 468090 581769 646410 702135 754145 904974 969615 1163538 1357461 1404270 1508290 1939230 2262435 2714922 2908845 4072383 4524870 5817690 6787305 8144766 13574610 20361915 40723830