Search a number
-
+
19858040 = 23517192953
BaseRepresentation
bin100101111000…
…0001001111000
31101100220002222
41023300021320
520040424130
61545343212
7330535106
oct113601170
941326088
1019858040
1110233704
126797b08
134163927
1428ccc76
151b23ce5
hex12f0278

19858040 has 128 divisors (see below), whose sum is σ = 52488000. Its totient is φ = 6709248.

The previous prime is 19858037. The next prime is 19858049. The reversal of 19858040 is 4085891.

19858040 = T247 + T248 + ... + T511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19858049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 374654 + ... + 374706.

Almost surely, 219858040 is an apocalyptic number.

19858040 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 19858040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26244000).

19858040 is an abundant number, since it is smaller than the sum of its proper divisors (32629960).

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

19858040 is a wasteful number, since it uses less digits than its factorization.

19858040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 19858040 is about 4456.2360799222. The cubic root of 19858040 is about 270.7980049119.

The spelling of 19858040 in words is "nineteen million, eight hundred fifty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 29 34 38 40 53 58 68 76 85 95 106 116 136 145 152 170 190 212 232 265 290 323 340 380 424 493 530 551 580 646 680 760 901 986 1007 1060 1102 1160 1292 1537 1615 1802 1972 2014 2120 2204 2465 2584 2755 3074 3230 3604 3944 4028 4408 4505 4930 5035 5510 6148 6460 7208 7685 8056 9010 9367 9860 10070 11020 12296 12920 15370 17119 18020 18734 19720 20140 22040 26129 29203 30740 34238 36040 37468 40280 46835 52258 58406 61480 68476 74936 85595 93670 104516 116812 130645 136952 146015 171190 187340 209032 233624 261290 292030 342380 374680 496451 522580 584060 684760 992902 1045160 1168120 1985804 2482255 3971608 4964510 9929020 19858040