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12373920 = 2532513661
BaseRepresentation
bin101111001100…
…111110100000
3212021122211100
4233030332200
511131431140
61121114400
7210114366
oct57147640
925248740
1012373920
116a91789
124188a00
132743260
141901636
151146530
hexbccfa0

12373920 has 144 divisors (see below), whose sum is σ = 45542952. Its totient is φ = 3041280.

The previous prime is 12373913. The next prime is 12373927. The reversal of 12373920 is 2937321.

It is an interprime number because it is at equal distance from previous prime (12373913) and next prime (12373927).

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 2862864 = 3084^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×123739202 = 306227792332800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12373927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18390 + ... + 19050.

Almost surely, 212373920 is an apocalyptic number.

12373920 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 12373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771476).

12373920 is an abundant number, since it is smaller than the sum of its proper divisors (33169032).

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

12373920 is a wasteful number, since it uses less digits than its factorization.

12373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 12373920 is about 3517.6583120025. The cubic root of 12373920 is about 231.2965214415.

The spelling of 12373920 in words is "twelve million, three hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 661 720 780 936 1040 1170 1248 1322 1440 1560 1872 1983 2080 2340 2644 3120 3305 3744 3966 4680 5288 5949 6240 6610 7932 8593 9360 9915 10576 11898 13220 15864 17186 18720 19830 21152 23796 25779 26440 29745 31728 34372 39660 42965 47592 51558 52880 59490 63456 68744 77337 79320 85930 95184 103116 105760 118980 128895 137488 154674 158640 171860 190368 206232 237960 257790 274976 309348 317280 343720 386685 412464 475920 515580 618696 687440 773370 824928 951840 1031160 1237392 1374880 1546740 2062320 2474784 3093480 4124640 6186960 12373920