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19896240 = 2435713911
BaseRepresentation
bin100101111100…
…1011110110000
31101102211111210
41023321132300
520043134430
61550240120
7331054350
oct113713660
941384453
1019896240
111025a381
1267b6040
134178130
1428dcb60
151b302b0
hex12f97b0

19896240 has 160 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 4193280.

The previous prime is 19896221. The next prime is 19896241. The reversal of 19896240 is 4269891.

It is a super-2 number, since 2×198962402 = 791720732275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (19896241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21385 + ... + 22295.

Almost surely, 219896240 is an apocalyptic number.

19896240 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 19896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

19896240 is an abundant number, since it is smaller than the sum of its proper divisors (56098896).

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

19896240 is a wasteful number, since it uses less digits than its factorization.

19896240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 19896240 is about 4460.5201490409. The cubic root of 19896240 is about 270.9715342531.

The spelling of 19896240 in words is "nineteen million, eight hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 911 1040 1092 1365 1456 1560 1680 1820 1822 2184 2730 2733 3120 3640 3644 4368 4555 5460 5466 6377 7280 7288 9110 10920 10932 11843 12754 13665 14576 18220 19131 21840 21864 23686 25508 27330 31885 35529 36440 38262 43728 47372 51016 54660 59215 63770 71058 72880 76524 82901 94744 95655 102032 109320 118430 127540 142116 153048 165802 177645 189488 191310 218640 236860 248703 255080 284232 306096 331604 355290 382620 414505 473720 497406 510160 568464 663208 710580 765240 829010 947440 994812 1243515 1326416 1421160 1530480 1658020 1989624 2487030 2842320 3316040 3979248 4974060 6632080 9948120 19896240