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19847940 = 22357243157
BaseRepresentation
bin100101110110…
…1101100000100
31101100101020220
41023231230010
520040113230
61545224340
7330463500
oct113555404
941311226
1019847940
1110227062
1267920b0
13415c158
1428c9300
151b20d10
hex12edb04

19847940 has 144 divisors (see below), whose sum is σ = 66572352. Its totient is φ = 4402944.

The previous prime is 19847929. The next prime is 19847953. The reversal of 19847940 is 4974891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19847892 and 19847901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126342 + ... + 126498.

It is an arithmetic number, because the mean of its divisors is an integer number (462308).

Almost surely, 219847940 is an apocalyptic number.

19847940 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 19847940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33286176).

19847940 is an abundant number, since it is smaller than the sum of its proper divisors (46724412).

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

19847940 is a wasteful number, since it uses less digits than its factorization.

19847940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 19847940 is about 4455.1026924191. The cubic root of 19847940 is about 270.7520869248.

The spelling of 19847940 in words is "nineteen million, eight hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 157 172 196 210 215 245 258 294 301 314 420 430 471 490 516 588 602 628 645 735 785 860 903 942 980 1099 1204 1290 1470 1505 1570 1806 1884 2107 2198 2355 2580 2940 3010 3140 3297 3612 4214 4396 4515 4710 5495 6020 6321 6594 6751 7693 8428 9030 9420 10535 10990 12642 13188 13502 15386 16485 18060 20253 21070 21980 23079 25284 27004 30772 31605 32970 33755 38465 40506 42140 46158 47257 63210 65940 67510 76930 81012 92316 94514 101265 115395 126420 135020 141771 153860 189028 202530 230790 236285 283542 330799 405060 461580 472570 567084 661598 708855 945140 992397 1323196 1417710 1653995 1984794 2835420 3307990 3969588 4961985 6615980 9923970 19847940