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19912320 = 273253457
BaseRepresentation
bin100101111110…
…1011010000000
31101110122120100
41023331122000
520044143240
61550442400
7331152261
oct113753200
941418510
1019912320
111027046a
126803400
13418254c
142904968
151b34e30
hex12fd680

19912320 has 96 divisors (see below), whose sum is σ = 68779620. Its totient is φ = 5308416.

The previous prime is 19912313. The next prime is 19912331. The reversal of 19912320 is 2321991.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 3069504 = 4104^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4032 + ... + 7488.

Almost surely, 219912320 is an apocalyptic number.

19912320 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 19912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34389810).

19912320 is an abundant number, since it is smaller than the sum of its proper divisors (48867300).

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

19912320 is a wasteful number, since it uses less digits than its factorization.

19912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 19912320 is about 4462.3222653681. The cubic root of 19912320 is about 271.0445136866.

The spelling of 19912320 in words is "nineteen million, nine hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3457 5760 6914 10371 13828 17285 20742 27656 31113 34570 41484 51855 55312 62226 69140 82968 103710 110624 124452 138280 155565 165936 207420 221248 248904 276560 311130 331872 414840 442496 497808 553120 622260 663744 829680 995616 1106240 1244520 1327488 1659360 1991232 2212480 2489040 3318720 3982464 4978080 6637440 9956160 19912320