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19429740 = 22335113271
BaseRepresentation
bin100101000011…
…1100101101100
31100120010121000
41022013211230
514433222430
61532240300
7324102321
oct112074554
940503530
1019429740
11aa70940
126610090
1340439b5
14281ab48
151a8be60
hex128796c

19429740 has 96 divisors (see below), whose sum is σ = 65963520. Its totient is φ = 4708800.

The previous prime is 19429727. The next prime is 19429741. The reversal of 19429740 is 4792491.

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 = 19429695 and 19429704.

It is not an unprimeable number, because it can be changed into a prime (19429741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4305 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (687120).

Almost surely, 219429740 is an apocalyptic number.

19429740 is a gapful number since it is divisible by the number (10) 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 19429740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32981760).

19429740 is an abundant number, since it is smaller than the sum of its proper divisors (46533780).

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

19429740 is a wasteful number, since it uses less digits than its factorization.

19429740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19429740 is about 4407.9178758230. The cubic root of 19429740 is about 268.8369727523.

The spelling of 19429740 in words is "nineteen million, four hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 3271 5940 6542 9813 13084 16355 19626 29439 32710 35981 39252 49065 58878 65420 71962 88317 98130 107943 117756 143924 147195 176634 179905 196260 215886 294390 323829 353268 359810 431772 441585 539715 588780 647658 719620 883170 971487 1079430 1295316 1619145 1766340 1942974 2158860 3238290 3885948 4857435 6476580 9714870 19429740