Search a number
-
+
19019490 = 235741472
BaseRepresentation
bin100100010001…
…1011011100010
31022210021211120
41020203123202
514332110430
61515353110
7320443260
oct110433342
938707746
1019019490
11a810696
126452796
133c2c049
142751430
151a0a610
hex12236e2

19019490 has 96 divisors (see below), whose sum is σ = 54601344. Its totient is φ = 4151040.

The previous prime is 19019489. The next prime is 19019503. The reversal of 19019490 is 9491091.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404647 + ... + 404693.

It is an arithmetic number, because the mean of its divisors is an integer number (568764).

Almost surely, 219019490 is an apocalyptic number.

19019490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19019490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27300672).

19019490 is an abundant number, since it is smaller than the sum of its proper divisors (35581854).

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

19019490 is a wasteful number, since it uses less digits than its factorization.

19019490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 19019490 is about 4361.1340268329. The cubic root of 19019490 is about 266.9313743028.

The spelling of 19019490 in words is "nineteen million, nineteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 47 70 82 94 105 123 141 205 210 235 246 282 287 329 410 470 574 615 658 705 861 987 1230 1410 1435 1645 1722 1927 1974 2209 2870 3290 3854 4305 4418 4935 5781 6627 8610 9635 9870 11045 11562 13254 13489 15463 19270 22090 26978 28905 30926 33135 40467 46389 57810 66270 67445 77315 80934 90569 92778 134890 154630 181138 202335 231945 271707 404670 452845 463890 543414 633983 905690 1267966 1358535 1901949 2717070 3169915 3803898 6339830 9509745 19019490