Search a number
-
+
1961057790 = 23452938263
BaseRepresentation
bin111010011100011…
…0101110111111110
312001200002001120000
41310320311313332
513004012322130
6522332135130
766411500436
oct16470656776
95050061500
101961057790
11916a6981a
124689074a6
13253391133
1414863d2c6
15b726e260
hex74e35dfe

1961057790 has 80 divisors (see below), whose sum is σ = 5291703648. Its totient is φ = 521100864.

The previous prime is 1961057783. The next prime is 1961057821. The reversal of 1961057790 is 977501691.

1961057790 is a `hidden beast` number, since 19 + 61 + 0 + 577 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 233199 + ... + 241461.

Almost surely, 21961057790 is an apocalyptic number.

1961057790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961057790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645851824).

1961057790 is an abundant number, since it is smaller than the sum of its proper divisors (3330645858).

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

1961057790 is a wasteful number, since it uses less digits than its factorization.

1961057790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 1961057790 is about 44283.8321512491. The cubic root of 1961057790 is about 1251.6900425086.

The spelling of 1961057790 in words is "one billion, nine hundred sixty-one million, fifty-seven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 293 405 586 810 879 1465 1758 2637 2930 4395 5274 7911 8263 8790 13185 15822 16526 23733 24789 26370 39555 41315 47466 49578 74367 79110 82630 118665 123945 148734 223101 237330 247890 371835 446202 669303 743670 1115505 1338606 2231010 2421059 3346515 4842118 6693030 7263177 12105295 14526354 21789531 24210590 36315885 43579062 65368593 72631770 108947655 130737186 196105779 217895310 326842965 392211558 653685930 980528895 1961057790