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190205040 = 2435792521
BaseRepresentation
bin10110101011001…
…00110001110000
3111020220102021010
423111210301300
5342143030130
630512430520
74466500434
oct1325446160
9436812233
10190205040
1198402953
1253848440
1330537b7c
141b3929c4
1511a720b0
hexb564c70

190205040 has 40 divisors (see below), whose sum is σ = 589636368. Its totient is φ = 50721280.

The previous prime is 190205033. The next prime is 190205063. The reversal of 190205040 is 40502091.

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 = 190204998 and 190205016.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 396021 + ... + 396500.

Almost surely, 2190205040 is an apocalyptic number.

190205040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190205040 is an abundant number, since it is smaller than the sum of its proper divisors (399431328).

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

190205040 is a wasteful number, since it uses less digits than its factorization.

190205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792537 (or 792531 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 190205040 is about 13791.4843291069. The cubic root of 190205040 is about 575.0964324718.

The spelling of 190205040 in words is "one hundred ninety million, two hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 792521 1585042 2377563 3170084 3962605 4755126 6340168 7925210 9510252 11887815 12680336 15850420 19020504 23775630 31700840 38041008 47551260 63401680 95102520 190205040