Search a number
-
+
193205460 = 22357460013
BaseRepresentation
bin10111000010000…
…01010011010100
3111110112212001210
423201001103110
5343430033320
631101021420
74534135140
oct1341012324
9443485053
10193205460
119a072138
1254854870
1331048776
141b934220
1511e660e0
hexb8414d4

193205460 has 48 divisors (see below), whose sum is σ = 618258816. Its totient is φ = 44161152.

The previous prime is 193205447. The next prime is 193205461. The reversal of 193205460 is 64502391.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193205461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229587 + ... + 230426.

It is an arithmetic number, because the mean of its divisors is an integer number (12880392).

Almost surely, 2193205460 is an apocalyptic number.

193205460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193205460 is an abundant number, since it is smaller than the sum of its proper divisors (425053356).

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

193205460 is a wasteful number, since it uses less digits than its factorization.

193205460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460032 (or 460030 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 193205460 is about 13899.8366896881. The cubic root of 193205460 is about 578.1046533282.

The spelling of 193205460 in words is "one hundred ninety-three million, two hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 460013 920026 1380039 1840052 2300065 2760078 3220091 4600130 5520156 6440182 6900195 9200260 9660273 12880364 13800390 16100455 19320546 27600780 32200910 38641092 48301365 64401820 96602730 193205460