Search a number
-
+
1057413150 = 23352783269
BaseRepresentation
bin111111000001101…
…101100000011110
32201200201011011000
4333001231200132
54131144210100
6252532011130
735126602113
oct7701554036
92650634130
101057413150
114a2978172
12256160aa6
1313b0bc871
14a061490a
1562c72900
hex3f06d81e

1057413150 has 48 divisors (see below), whose sum is σ = 2913764400. Its totient is φ = 281976480.

The previous prime is 1057413079. The next prime is 1057413157. The reversal of 1057413150 is 513147501.

1057413150 is a `hidden beast` number, since 10 + 574 + 1 + 31 + 50 = 666.

It is a super-2 number, since 2×10574131502 = 2236245139585845000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057413157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390285 + ... + 392984.

It is an arithmetic number, because the mean of its divisors is an integer number (60703425).

Almost surely, 21057413150 is an apocalyptic number.

1057413150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057413150 is an abundant number, since it is smaller than the sum of its proper divisors (1856351250).

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

1057413150 is a wasteful number, since it uses less digits than its factorization.

1057413150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783290 (or 783279 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1057413150 is about 32517.8896916759. The cubic root of 1057413150 is about 1018.7827174056.

The spelling of 1057413150 in words is "one billion, fifty-seven million, four hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 783269 1566538 2349807 3916345 4699614 7049421 7832690 11749035 14098842 19581725 21148263 23498070 35247105 39163450 42296526 58745175 70494210 105741315 117490350 176235525 211482630 352471050 528706575 1057413150