Search a number
-
+
190926540 = 223257221647
BaseRepresentation
bin10110110000101…
…00111011001100
3111022021001222100
423120110323030
5342334122130
630540115100
74505564100
oct1330247314
9438231870
10190926540
1198855a32
1253b35a90
133072b3ac
141b4dd900
1511b65c60
hexb614ecc

190926540 has 108 divisors (see below), whose sum is σ = 673729056. Its totient is φ = 43638336.

The previous prime is 190926509. The next prime is 190926553. The reversal of 190926540 is 45629091.

190926540 is a `hidden beast` number, since 1 + 90 + 9 + 26 + 540 = 666.

190926540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 = 190926495 and 190926504.

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, 2004 + ... + 19643.

It is an arithmetic number, because the mean of its divisors is an integer number (6238232).

Almost surely, 2190926540 is an apocalyptic number.

190926540 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 190926540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336864528).

190926540 is an abundant number, since it is smaller than the sum of its proper divisors (482802516).

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

190926540 is a wasteful number, since it uses less digits than its factorization.

190926540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21676 (or 21664 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 190926540 is about 13817.6170159691. The cubic root of 190926540 is about 575.8226812407.

The spelling of 190926540 in words is "one hundred ninety million, nine hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 21647 43294 64941 86588 108235 129882 151529 194823 216470 259764 303058 324705 389646 432940 454587 606116 649410 757645 779292 909174 974115 1060703 1298820 1363761 1515290 1818348 1948230 2121406 2272935 2727522 3030580 3182109 3896460 4242812 4545870 5303515 5455044 6364218 6818805 9091740 9546327 10607030 12728436 13637610 15910545 19092654 21214060 27275220 31821090 38185308 47731635 63642180 95463270 190926540