Search a number
-
+
192126740 = 225132983307
BaseRepresentation
bin10110111001110…
…01111100010100
3111101112001100012
423130321330110
5343141023430
631021535352
74522023161
oct1334717424
9441461305
10192126740
11994a5733
1254414558
1330a5b780
141b733068
1511d01695
hexb739f14

192126740 has 96 divisors (see below), whose sum is σ = 456382080. Its totient is φ = 67447296.

The previous prime is 192126731. The next prime is 192126757. The reversal of 192126740 is 47621291.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 192126697 and 192126706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625667 + ... + 625973.

It is an arithmetic number, because the mean of its divisors is an integer number (4753980).

Almost surely, 2192126740 is an apocalyptic number.

192126740 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 192126740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228191040).

192126740 is an abundant number, since it is smaller than the sum of its proper divisors (264255340).

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

192126740 is a wasteful number, since it uses less digits than its factorization.

192126740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 192126740 is about 13860.9790419003. The cubic root of 192126740 is about 577.0267381959.

It can be divided in two parts, 19212 and 6740, that added together give a palindrome (25952).

The spelling of 192126740 in words is "one hundred ninety-two million, one hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 83 116 130 145 166 260 290 307 332 377 415 580 614 754 830 1079 1228 1508 1535 1660 1885 2158 2407 3070 3770 3991 4316 4814 5395 6140 7540 7982 8903 9628 10790 12035 15964 17806 19955 21580 24070 25481 31291 35612 39910 44515 48140 50962 62582 79820 89030 101924 115739 125164 127405 156455 178060 231478 254810 312910 331253 462956 509620 578695 625820 662506 738949 1157390 1325012 1477898 1656265 2314780 2955796 3312530 3694745 6625060 7389490 9606337 14778980 19212674 38425348 48031685 96063370 192126740