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941457090 = 235721973251
BaseRepresentation
bin111000000111010…
…111111011000010
32102121111222100010
4320013113323002
53412003111330
6233230405350
732221152600
oct7007277302
92377458303
10941457090
11443478712
12223360856
13120080502
148d06c870
15579ba3b0
hex381d7ec2

941457090 has 96 divisors (see below), whose sum is σ = 2642549184. Its totient is φ = 214032000.

The previous prime is 941457079. The next prime is 941457107. The reversal of 941457090 is 90754149.

It is a super-3 number, since 3×9414570903 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287965 + ... + 291215.

It is an arithmetic number, because the mean of its divisors is an integer number (27526554).

Almost surely, 2941457090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 941457090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321274592).

941457090 is an abundant number, since it is smaller than the sum of its proper divisors (1701092094).

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

941457090 is a wasteful number, since it uses less digits than its factorization.

941457090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 941457090 is about 30683.1727498966. The cubic root of 941457090 is about 980.0919981661.

The spelling of 941457090 in words is "nine hundred forty-one million, four hundred fifty-seven thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 197 210 245 294 394 490 591 735 985 1182 1379 1470 1970 2758 2955 3251 4137 5910 6502 6895 8274 9653 9753 13790 16255 19306 19506 20685 22757 28959 32510 41370 45514 48265 48765 57918 68271 96530 97530 113785 136542 144795 159299 227570 289590 318598 341355 477897 640447 682710 796495 955794 1280894 1592990 1921341 2389485 3202235 3842682 4483129 4778970 6404470 8966258 9606705 13449387 19213410 22415645 26898774 31381903 44831290 62763806 67246935 94145709 134493870 156909515 188291418 313819030 470728545 941457090