Search a number
-
+
192032120 = 2357838263
BaseRepresentation
bin10110111001000…
…10110101111000
3111101100020112202
423130202311320
5343130011440
631015525332
74521150260
oct1334426570
9441306482
10192032120
1199440635
1254389848
1330a27697
141b70a7a0
1511cd3615
hexb722d78

192032120 has 64 divisors (see below), whose sum is σ = 499806720. Its totient is φ = 65038464.

The previous prime is 192032111. The next prime is 192032123. The reversal of 192032120 is 21230291.

It is a super-2 number, since 2×1920321202 = 73752670223388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 192032092 and 192032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192032123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19109 + ... + 27371.

It is an arithmetic number, because the mean of its divisors is an integer number (7809480).

Almost surely, 2192032120 is an apocalyptic number.

192032120 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 192032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249903360).

192032120 is an abundant number, since it is smaller than the sum of its proper divisors (307774600).

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

192032120 is a wasteful number, since it uses less digits than its factorization.

192032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 192032120 is about 13857.5654427464. The cubic root of 192032120 is about 576.9319965071.

The spelling of 192032120 in words is "one hundred ninety-two million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 8263 11620 16526 23240 33052 41315 57841 66104 82630 115682 165260 231364 289205 330520 462728 578410 685829 1156820 1371658 2313640 2743316 3429145 4800803 5486632 6858290 9601606 13716580 19203212 24004015 27433160 38406424 48008030 96016060 192032120