Search a number
-
+
192984920 = 235311031511
BaseRepresentation
bin10111000000010…
…11011101011000
3111110010122112122
423200023131120
5343401004140
631052200412
74532226152
oct1340133530
9443118478
10192984920
1199a31477
1254769108
1330c9c27b
141b8b7ad2
1511e20ab5
hexb80b758

192984920 has 64 divisors (see below), whose sum is σ = 452874240. Its totient is φ = 73929600.

The previous prime is 192984809. The next prime is 192984931. The reversal of 192984920 is 29489291.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126965 + ... + 128475.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2192984920 is an apocalyptic number.

192984920 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 192984920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

192984920 is an abundant number, since it is smaller than the sum of its proper divisors (259889320).

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

192984920 is a wasteful number, since it uses less digits than its factorization.

192984920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 192984920 is about 13891.9012377716. The cubic root of 192984920 is about 577.8846047815.

The spelling of 192984920 in words is "one hundred ninety-two million, nine hundred eighty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 103 124 155 206 248 310 412 515 620 824 1030 1240 1511 2060 3022 3193 4120 6044 6386 7555 12088 12772 15110 15965 25544 30220 31930 46841 60440 63860 93682 127720 155633 187364 234205 311266 374728 468410 622532 778165 936820 1245064 1556330 1873640 3112660 4824623 6225320 9649246 19298492 24123115 38596984 48246230 96492460 192984920