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190394240 = 275521571
BaseRepresentation
bin10110101100100…
…10111110000000
3111021021000210112
423112102332000
5342220103430
630520450452
74501216151
oct1326227600
9437230715
10190394240
1198522013
1253919a28
13305a301a
141b401928
1511aad195
hexb592f80

190394240 has 64 divisors (see below), whose sum is σ = 456833520. Its totient is φ = 75878400.

The previous prime is 190394233. The next prime is 190394249. The reversal of 190394240 is 42493091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 190394197 and 190394206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190394249) by changing a digit.

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, 333155 + ... + 333725.

Almost surely, 2190394240 is an apocalyptic number.

190394240 is a gapful number since it is divisible by the number (10) 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 190394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228416760).

190394240 is an abundant number, since it is smaller than the sum of its proper divisors (266439280).

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

190394240 is an equidigital number, since it uses as much as digits as its factorization.

190394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 190394240 is about 13798.3419293769. The cubic root of 190394240 is about 575.2870551584.

The spelling of 190394240 in words is "one hundred ninety million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 521 571 640 1042 1142 2084 2284 2605 2855 4168 4568 5210 5710 8336 9136 10420 11420 16672 18272 20840 22840 33344 36544 41680 45680 66688 73088 83360 91360 166720 182720 297491 333440 365440 594982 1189964 1487455 2379928 2974910 4759856 5949820 9519712 11899640 19039424 23799280 38078848 47598560 95197120 190394240