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190340560 = 24510123557
BaseRepresentation
bin10110101100001…
…01110111010000
3111021011022011101
423112011313100
5342211344220
630515354144
74500603514
oct1326056720
9437138141
10190340560
1198495753
12538b2954
1330584767
141b3ca144
1511a9c30a
hexb585dd0

190340560 has 40 divisors (see below), whose sum is σ = 446942376. Its totient is φ = 75379200.

The previous prime is 190340533. The next prime is 190340567. The reversal of 190340560 is 65043091.

190340560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 179131456 = 3348^2 + 13384^2 .

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

It is a super-2 number, since 2×1903405602 = 72459057562227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190340567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3699 + ... + 19858.

Almost surely, 2190340560 is an apocalyptic number.

190340560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190340560 is an abundant number, since it is smaller than the sum of its proper divisors (256601816).

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

190340560 is a wasteful number, since it uses less digits than its factorization.

190340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23671 (or 23665 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 190340560 is about 13796.3966310048. The cubic root of 190340560 is about 575.2329843492.

The spelling of 190340560 in words is "one hundred ninety million, three hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 23557 47114 94228 117785 188456 235570 376912 471140 942280 1884560 2379257 4758514 9517028 11896285 19034056 23792570 38068112 47585140 95170280 190340560