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19482240 = 273573139
BaseRepresentation
bin100101001010…
…0011010000000
31100122210121110
41022110122000
514441412430
61533323320
7324411351
oct112243200
940583543
1019482240
11aaa7328
126636540
13406186b
142831d28
151a9c7b0
hex1294680

19482240 has 128 divisors (see below), whose sum is σ = 63403200. Its totient is φ = 5087232.

The previous prime is 19482233. The next prime is 19482247. The reversal of 19482240 is 4228491.

It is an interprime number because it is at equal distance from previous prime (19482233) and next prime (19482247).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 19482198 and 19482207.

It is not an unprimeable number, because it can be changed into a prime (19482247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140091 + ... + 140229.

Almost surely, 219482240 is an apocalyptic number.

19482240 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 19482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701600).

19482240 is an abundant number, since it is smaller than the sum of its proper divisors (43920960).

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

19482240 is a wasteful number, since it uses less digits than its factorization.

19482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 19482240 is about 4413.8690510707. The cubic root of 19482240 is about 269.0788913773.

The spelling of 19482240 in words is "nineteen million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 139 146 160 192 219 240 278 292 320 365 384 417 438 480 556 584 640 695 730 834 876 960 1095 1112 1168 1390 1460 1668 1752 1920 2085 2190 2224 2336 2780 2920 3336 3504 4170 4380 4448 4672 5560 5840 6672 7008 8340 8760 8896 9344 10147 11120 11680 13344 14016 16680 17520 17792 20294 22240 23360 26688 28032 30441 33360 35040 40588 44480 46720 50735 53376 60882 66720 70080 81176 88960 101470 121764 133440 140160 152205 162352 202940 243528 266880 304410 324704 405880 487056 608820 649408 811760 974112 1217640 1298816 1623520 1948224 2435280 3247040 3896448 4870560 6494080 9741120 19482240