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19840140 = 2234537331
BaseRepresentation
bin100101110101…
…1110010001100
31101022222120000
41023223302030
520034341030
61545124300
7330431655
oct113536214
941288500
1019840140
1110221211
126789690
134158738
1428c652c
151b1d860
hex12ebc8c

19840140 has 120 divisors (see below), whose sum is σ = 64114512. Its totient is φ = 5132160.

The previous prime is 19840133. The next prime is 19840153. The reversal of 19840140 is 4104891.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59775 + ... + 60105.

Almost surely, 219840140 is an apocalyptic number.

19840140 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 19840140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32057256).

19840140 is an abundant number, since it is smaller than the sum of its proper divisors (44274372).

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

19840140 is a wasteful number, since it uses less digits than its factorization.

19840140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19840140 is about 4454.2272057002. The cubic root of 19840140 is about 270.7166148475.

The spelling of 19840140 in words is "nineteen million, eight hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 331 333 370 405 444 540 555 662 666 740 810 993 999 1110 1324 1332 1620 1655 1665 1986 1998 2220 2979 2997 3310 3330 3972 3996 4965 4995 5958 5994 6620 6660 8937 9930 9990 11916 11988 12247 14895 14985 17874 19860 19980 24494 26811 29790 29970 35748 36741 44685 48988 53622 59580 59940 61235 73482 89370 107244 110223 122470 134055 146964 178740 183705 220446 244940 268110 330669 367410 440892 536220 551115 661338 734820 992007 1102230 1322676 1653345 1984014 2204460 3306690 3968028 4960035 6613380 9920070 19840140