Search a number
-
+
19040940 = 2233537953
BaseRepresentation
bin100100010100…
…0101010101100
31022211101021000
41020220222230
514333302230
61520040300
7320562642
oct110505254
938741230
1019040940
11a825816
126463090
133c38a39
142759192
151a11b60
hex1228aac

19040940 has 96 divisors (see below), whose sum is σ = 60903360. Its totient is φ = 4935168.

The previous prime is 19040929. The next prime is 19040951. The reversal of 19040940 is 4904091.

It is an interprime number because it is at equal distance from previous prime (19040929) and next prime (19040951).

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

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19504 + ... + 20456.

It is an arithmetic number, because the mean of its divisors is an integer number (634410).

Almost surely, 219040940 is an apocalyptic number.

19040940 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 19040940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30451680).

19040940 is an abundant number, since it is smaller than the sum of its proper divisors (41862420).

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

19040940 is a wasteful number, since it uses less digits than its factorization.

19040940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 19040940 is about 4363.5925565983. The cubic root of 19040940 is about 267.0316841582.

The spelling of 19040940 in words is "nineteen million, forty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 953 999 1110 1332 1665 1906 1998 2220 2859 3330 3812 3996 4765 4995 5718 6660 8577 9530 9990 11436 14295 17154 19060 19980 25731 28590 34308 35261 42885 51462 57180 70522 85770 102924 105783 128655 141044 171540 176305 211566 257310 317349 352610 423132 514620 528915 634698 705220 952047 1057830 1269396 1586745 1904094 2115660 3173490 3808188 4760235 6346980 9520470 19040940