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19901742 = 2372139487
BaseRepresentation
bin100101111101…
…0110100101110
31101110010001120
41023322310232
520043323432
61550321410
7331106400
oct113726456
941403046
1019901742
1110263523
1267b9266
13417a7a3
142900b70
151b31c2c
hex12fad2e

19901742 has 48 divisors (see below), whose sum is σ = 46730880. Its totient is φ = 5633712.

The previous prime is 19901737. The next prime is 19901753. The reversal of 19901742 is 24710991.

It is a congruent number.

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, 40623 + ... + 41109.

It is an arithmetic number, because the mean of its divisors is an integer number (973560).

Almost surely, 219901742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19901742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23365440).

19901742 is an abundant number, since it is smaller than the sum of its proper divisors (26829138).

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

19901742 is a wasteful number, since it uses less digits than its factorization.

19901742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 19901742 is about 4461.1368506245. The cubic root of 19901742 is about 270.9965096249.

Subtracting 19901742 from its reverse (24710991), we obtain a square (4809249 = 21932).

The spelling of 19901742 in words is "nineteen million, nine hundred one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 139 147 278 294 417 487 834 973 974 1461 1946 2919 2922 3409 5838 6811 6818 10227 13622 20433 20454 23863 40866 47726 67693 71589 135386 143178 203079 406158 473851 947702 1421553 2843106 3316957 6633914 9950871 19901742