Search a number
-
+
192937920 = 2635728711
BaseRepresentation
bin10110111111111…
…11111111000000
3111110001021001220
423133333333000
5343343003140
631051155040
74531642140
oct1337777700
9443037056
10192937920
11999aa12a
1254745a80
1330c83a66
141b8a4920
1511e11bd0
hexb7fffc0

192937920 has 112 divisors (see below), whose sum is σ = 700113408. Its totient is φ = 44098560.

The previous prime is 192937919. The next prime is 192937931. The reversal of 192937920 is 29739291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7636 + ... + 21075.

Almost surely, 2192937920 is an apocalyptic number.

192937920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

192937920 is an abundant number, since it is smaller than the sum of its proper divisors (507175488).

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

192937920 is a wasteful number, since it uses less digits than its factorization.

192937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28738 (or 28728 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 192937920 is about 13890.2095016598. The cubic root of 192937920 is about 577.8376878486.

The spelling of 192937920 in words is "one hundred ninety-two million, nine hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 28711 57422 86133 114844 143555 172266 200977 229688 287110 344532 401954 430665 459376 574220 602931 689064 803908 861330 918752 1004885 1148440 1205862 1378128 1607816 1722660 1837504 2009770 2296880 2411724 2756256 3014655 3215632 3445320 4019540 4593760 4823448 5512512 6029310 6431264 6890640 8039080 9187520 9646896 12058620 12862528 13781280 16078160 19293792 24117240 27562560 32156320 38587584 48234480 64312640 96468960 192937920