Search a number
-
+
193545690 = 235132321577
BaseRepresentation
bin10111000100101…
…00010111011010
3111111012010202220
423202110113122
5344021430230
631112204510
74540053102
oct1342242732
9444163686
10193545690
119a284818
1254999736
13311375a0
141b9c2202
1511ed1d10
hexb8945da

193545690 has 64 divisors (see below), whose sum is σ = 522014976. Its totient is φ = 45568512.

The previous prime is 193545689. The next prime is 193545701. The reversal of 193545690 is 96545391.

193545690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1935456902 = 74919868235152200, which contains 22 as substring.

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, 1819 + ... + 19758.

It is an arithmetic number, because the mean of its divisors is an integer number (8156484).

Almost surely, 2193545690 is an apocalyptic number.

193545690 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 193545690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261007488).

193545690 is an abundant number, since it is smaller than the sum of its proper divisors (328469286).

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

193545690 is a wasteful number, since it uses less digits than its factorization.

193545690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21623.

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 193545690 is about 13912.0699394447. The cubic root of 193545690 is about 578.4437969606.

The spelling of 193545690 in words is "one hundred ninety-three million, five hundred forty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 8970 21577 43154 64731 107885 129462 215770 280501 323655 496271 561002 647310 841503 992542 1402505 1488813 1683006 2481355 2805010 2977626 4207515 4962710 6451523 7444065 8415030 12903046 14888130 19354569 32257615 38709138 64515230 96772845 193545690