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192317940 = 223251723697
BaseRepresentation
bin10110111011010…
…00100111110100
3111101212202121200
423131220213310
5343213133230
631030012500
74523450463
oct1335504764
9441782550
10192317940
1199616351
12544a7130
1330ac77c9
141b7829da
1511d3d160
hexb7689f4

192317940 has 108 divisors (see below), whose sum is σ = 619866156. Its totient is φ = 48254976.

The previous prime is 192317929. The next prime is 192317959. The reversal of 192317940 is 49713291.

It can be written as a sum of positive squares in 6 ways, for example, as 51984 + 192265956 = 228^2 + 13866^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 192317895 and 192317904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50172 + ... + 53868.

Almost surely, 2192317940 is an apocalyptic number.

192317940 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 192317940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309933078).

192317940 is an abundant number, since it is smaller than the sum of its proper divisors (427548216).

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

192317940 is a wasteful number, since it uses less digits than its factorization.

192317940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 192317940 is about 13867.8743865093. The cubic root of 192317940 is about 577.2180892004.

The spelling of 192317940 in words is "one hundred ninety-two million, three hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 3697 4335 5202 5780 7394 8670 10404 11091 13005 14788 17340 18485 22182 26010 33273 36970 44364 52020 55455 62849 66546 73940 110910 125698 133092 166365 188547 221820 251396 314245 332730 377094 565641 628490 665460 754188 942735 1068433 1131282 1256980 1885470 2136866 2262564 2828205 3205299 3770940 4273732 5342165 5656410 6410598 9615897 10684330 11312820 12821196 16026495 19231794 21368660 32052990 38463588 48079485 64105980 96158970 192317940