Search a number
-
+
193025370 = 23519397853
BaseRepresentation
bin10111000000101…
…01010101011010
3111110012201000210
423200111111122
5343403302440
631053111550
74532455116
oct1340252532
9443181023
10193025370
1199a598aa
12547885b6
1330cb47c5
141b8c8746
1511e2ca80
hexb81555a

193025370 has 64 divisors (see below), whose sum is σ = 489444480. Its totient is φ = 48584448.

The previous prime is 193025369. The next prime is 193025461. The reversal of 193025370 is 73520391.

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

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 225864 + ... + 226716.

It is an arithmetic number, because the mean of its divisors is an integer number (7647570).

Almost surely, 2193025370 is an apocalyptic number.

193025370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193025370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244722240).

193025370 is an abundant number, since it is smaller than the sum of its proper divisors (296419110).

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

193025370 is a wasteful number, since it uses less digits than its factorization.

193025370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 193025370 is about 13893.3570457251. The cubic root of 193025370 is about 577.9249771921.

The spelling of 193025370 in words is "one hundred ninety-three million, twenty-five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 397 570 794 853 1191 1706 1985 2382 2559 3970 4265 5118 5955 7543 8530 11910 12795 15086 16207 22629 25590 32414 37715 45258 48621 75430 81035 97242 113145 162070 226290 243105 338641 486210 677282 1015923 1693205 2031846 3386410 5079615 6434179 10159230 12868358 19302537 32170895 38605074 64341790 96512685 193025370