Search a number
-
+
192433080 = 233571072141
BaseRepresentation
bin10110111100001…
…00101110111000
3111102002121120010
423132010232320
5343230324310
631032301520
74524440250
oct1336045670
9442077503
10192433080
1199694904
12545418a0
1330b38038
141b7b2960
1511d62320
hexb784bb8

192433080 has 128 divisors (see below), whose sum is σ = 666247680. Its totient is φ = 43553280.

The previous prime is 192433061. The next prime is 192433091. The reversal of 192433080 is 80334291.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 88810 + ... + 90950.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2192433080 is an apocalyptic number.

192433080 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 192433080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333123840).

192433080 is an abundant number, since it is smaller than the sum of its proper divisors (473814600).

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

192433080 is a wasteful number, since it uses less digits than its factorization.

192433080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 192433080 is about 13872.0250864825. The cubic root of 192433080 is about 577.3332589586. Note that the first 3 decimals are identical.

The spelling of 192433080 in words is "one hundred ninety-two million, four hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 107 120 140 168 210 214 280 321 420 428 535 642 749 840 856 1070 1284 1498 1605 2140 2141 2247 2568 2996 3210 3745 4280 4282 4494 5992 6420 6423 7490 8564 8988 10705 11235 12840 12846 14980 14987 17128 17976 21410 22470 25692 29960 29974 32115 42820 44940 44961 51384 59948 64230 74935 85640 89880 89922 119896 128460 149870 179844 224805 229087 256920 299740 359688 449610 458174 599480 687261 899220 916348 1145435 1374522 1603609 1798440 1832696 2290870 2749044 3207218 3436305 4581740 4810827 5498088 6414436 6872610 8018045 9163480 9621654 12828872 13745220 16036090 19243308 24054135 27490440 32072180 38486616 48108270 64144360 96216540 192433080