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1072050390 = 2355894957
BaseRepresentation
bin111111111001100…
…011000011010110
32202201020210200000
4333321203003112
54143421103030
6254213432130
735365164225
oct7771430326
92681223600
101072050390
11500165364
1225b03b646
13141146058
14a2544cbc
15641b4860
hex3fe630d6

1072050390 has 96 divisors (see below), whose sum is σ = 2923633440. Its totient is φ = 282610944.

The previous prime is 1072050389. The next prime is 1072050407. The reversal of 1072050390 is 930502701.

1072050390 is a `hidden beast` number, since 1 + 0 + 72 + 0 + 503 + 90 = 666.

It is a super-2 number, since 2×10720503902 = 2298584077398304200, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213792 + ... + 218748.

It is an arithmetic number, because the mean of its divisors is an integer number (30454515).

Almost surely, 21072050390 is an apocalyptic number.

1072050390 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 1072050390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461816720).

1072050390 is an abundant number, since it is smaller than the sum of its proper divisors (1851583050).

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

1072050390 is an equidigital number, since it uses as much as digits as its factorization.

1072050390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1072050390 is about 32742.1805932348. The cubic root of 1072050390 is about 1023.4620250277.

The spelling of 1072050390 in words is "one billion, seventy-two million, fifty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 243 267 270 405 445 486 534 801 810 890 1215 1335 1602 2403 2430 2670 4005 4806 4957 7209 8010 9914 12015 14418 14871 21627 24030 24785 29742 36045 43254 44613 49570 72090 74355 89226 108135 133839 148710 216270 223065 267678 401517 441173 446130 669195 803034 882346 1204551 1323519 1338390 2007585 2205865 2409102 2647038 3970557 4015170 4411730 6022755 6617595 7941114 11911671 12045510 13235190 19852785 23823342 35735013 39705570 59558355 71470026 107205039 119116710 178675065 214410078 357350130 536025195 1072050390