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193561040 = 2454751479
BaseRepresentation
bin10111000100110…
…00000111010000
3111111012220211102
423202120013100
5344022423130
631112403532
74540145621
oct1342300720
9444186742
10193561040
119a295302
12549a65a8
133114157a
141b9c7a48
1511ed6645
hexb8981d0

193561040 has 40 divisors (see below), whose sum is σ = 459613440. Its totient is φ = 75775616.

The previous prime is 193561021. The next prime is 193561073. The reversal of 193561040 is 40165391.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 193560994 and 193561012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21980 + ... + 29499.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2193561040 is an apocalyptic number.

193561040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193561040 is an abundant number, since it is smaller than the sum of its proper divisors (266052400).

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

193561040 is a wasteful number, since it uses less digits than its factorization.

193561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51539 (or 51533 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 193561040 is about 13912.6216077345. The cubic root of 193561040 is about 578.4590885739.

The spelling of 193561040 in words is "one hundred ninety-three million, five hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 51479 102958 205916 257395 411832 514790 823664 1029580 2059160 2419513 4118320 4839026 9678052 12097565 19356104 24195130 38712208 48390260 96780520 193561040