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20739744 = 25322331101
BaseRepresentation
bin100111100011…
…1011010100000
31110000200120200
41033013122200
520302132434
62020305200
7341166504
oct117073240
943020520
1020739744
1110786093
126b42200
1343b204c
142a7c304
151c4a199
hex13c76a0

20739744 has 144 divisors (see below), whose sum is σ = 64157184. Its totient is φ = 6336000.

The previous prime is 20739731. The next prime is 20739769. The reversal of 20739744 is 44793702.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 20739699 and 20739708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205294 + ... + 205394.

It is an arithmetic number, because the mean of its divisors is an integer number (445536).

Almost surely, 220739744 is an apocalyptic number.

20739744 is a gapful number since it is divisible by the number (24) 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 20739744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32078592).

20739744 is an abundant number, since it is smaller than the sum of its proper divisors (43417440).

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

20739744 is a wasteful number, since it uses less digits than its factorization.

20739744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 20739744 is about 4554.0909081835. The cubic root of 20739744 is about 274.7479519790.

The spelling of 20739744 in words is "twenty million, seven hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 69 72 92 93 96 101 124 138 144 184 186 202 207 248 276 279 288 303 368 372 404 414 496 552 558 606 713 736 744 808 828 909 992 1104 1116 1212 1426 1488 1616 1656 1818 2139 2208 2232 2323 2424 2852 2976 3131 3232 3312 3636 4278 4464 4646 4848 5704 6262 6417 6624 6969 7272 8556 8928 9292 9393 9696 11408 12524 12834 13938 14544 17112 18584 18786 20907 22816 25048 25668 27876 28179 29088 34224 37168 37572 41814 50096 51336 55752 56358 68448 72013 74336 75144 83628 100192 102672 111504 112716 144026 150288 167256 205344 216039 223008 225432 288052 300576 334512 432078 450864 576104 648117 669024 864156 901728 1152208 1296234 1728312 2304416 2592468 3456624 5184936 6913248 10369872 20739744