Search a number
-
+
90292940 = 225192310331
BaseRepresentation
bin1010110000111…
…00001011001100
320021220100121222
411120130023030
5141103333230
612543142512
72144322503
oct530341314
9207810558
1090292940
1146a71471
12262a4a38
131592539a
14bdc583a
157dd86e5
hex561c2cc

90292940 has 48 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 32725440.

The previous prime is 90292919. The next prime is 90292949. The reversal of 90292940 is 4929209.

It is a self number, because there is not a number n which added to its sum of digits gives 90292940.

It is not an unprimeable number, because it can be changed into a prime (90292949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3575 + ... + 13905.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 290292940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90292940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146560).

90292940 is an abundant number, since it is smaller than the sum of its proper divisors (118000180).

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

90292940 is a wasteful number, since it uses less digits than its factorization.

90292940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 90292940 is about 9502.2597312429. The cubic root of 90292940 is about 448.6261638986.

The spelling of 90292940 in words is "ninety million, two hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 4370 8740 10331 20662 41324 51655 103310 196289 206620 237613 392578 475226 785156 950452 981445 1188065 1962890 2376130 3925780 4514647 4752260 9029294 18058588 22573235 45146470 90292940