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193130496 = 2123213231
BaseRepresentation
bin10111000001011…
…11000000000000
3111110102001020100
423200233000000
5343420133441
631055242400
74533403446
oct1340570000
9443361210
10193130496
119a020889
1254819400
1331020600
141b914b96
1511e4dcb6
hexb82f000

193130496 has 234 divisors, whose sum is σ = 623564448. Its totient is φ = 57507840.

The previous prime is 193130477. The next prime is 193130513. The reversal of 193130496 is 694031391.

It is a tau number, because it is divible by the number of its divisors (234).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 193130496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6230001 + ... + 6230031.

Almost surely, 2193130496 is an apocalyptic number.

193130496 is a gapful number since it is divisible by the number (16) 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 193130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311782224).

193130496 is an abundant number, since it is smaller than the sum of its proper divisors (430433952).

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

193130496 is a wasteful number, since it uses less digits than its factorization.

193130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 193130496 is about 13897.1398496237. The cubic root of 193130496 is about 578.0298751734.

The spelling of 193130496 in words is "one hundred ninety-three million, one hundred thirty thousand, four hundred ninety-six".