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19949440 = 27576173
BaseRepresentation
bin100110000011…
…0011110000000
31101112112111011
41030012132000
520101340230
61551330304
7331365430
oct114063600
941475434
1019949440
1110296345
126820994
134196404
1429142c0
151b40e2a
hex1306780

19949440 has 128 divisors (see below), whose sum is σ = 56157120. Its totient is φ = 6635520.

The previous prime is 19949431. The next prime is 19949453. The reversal of 19949440 is 4494991.

19949440 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 19949393 and 19949402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273244 + ... + 273316.

Almost surely, 219949440 is an apocalyptic number.

19949440 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 19949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28078560).

19949440 is an abundant number, since it is smaller than the sum of its proper divisors (36207680).

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

19949440 is an equidigital number, since it uses as much as digits as its factorization.

19949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 19949440 is about 4466.4795980727. The cubic root of 19949440 is about 271.2128337165.

The spelling of 19949440 in words is "nineteen million, nine hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 73 80 112 122 128 140 146 160 224 244 280 292 305 320 365 427 448 488 511 560 584 610 640 730 854 896 976 1022 1120 1168 1220 1460 1708 1952 2044 2135 2240 2336 2440 2555 2920 3416 3904 4088 4270 4453 4480 4672 4880 5110 5840 6832 7808 8176 8540 8906 9344 9760 10220 11680 13664 16352 17080 17812 19520 20440 22265 23360 27328 31171 32704 34160 35624 39040 40880 44530 46720 54656 62342 65408 68320 71248 81760 89060 124684 136640 142496 155855 163520 178120 249368 273280 284992 311710 327040 356240 498736 569984 623420 712480 997472 1246840 1424960 1994944 2493680 2849920 3989888 4987360 9974720 19949440