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1056203540 = 2257171923357
BaseRepresentation
bin111110111101000…
…110001100010100
32201121102200212122
4332331012030110
54130342003130
6252450035112
735113403420
oct7675061424
92647380778
101056203540
114a2221397
12255878a98
1313aa88112
14a03bbb80
1562ad42e5
hex3ef46314

1056203540 has 96 divisors (see below), whose sum is σ = 2825383680. Its totient is φ = 322873344.

The previous prime is 1056203531. The next prime is 1056203543. The reversal of 1056203540 is 453026501.

It is a super-2 number, since 2×10562035402 = 2231131835817063200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056203543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33542 + ... + 56898.

It is an arithmetic number, because the mean of its divisors is an integer number (29431080).

Almost surely, 21056203540 is an apocalyptic number.

1056203540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056203540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412691840).

1056203540 is an abundant number, since it is smaller than the sum of its proper divisors (1769180140).

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

1056203540 is a wasteful number, since it uses less digits than its factorization.

1056203540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23409 (or 23407 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1056203540 is about 32499.2852229091. The cubic root of 1056203540 is about 1018.3940960603.

The spelling of 1056203540 in words is "one billion, fifty-six million, two hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 476 532 595 646 665 1190 1292 1330 1615 2261 2380 2660 3230 4522 6460 9044 11305 22610 23357 45220 46714 93428 116785 163499 233570 326998 397069 443783 467140 653996 794138 817495 887566 1588276 1634990 1775132 1985345 2218915 2779483 3106481 3269980 3970690 4437830 5558966 6212962 7544311 7941380 8875660 11117932 12425924 13897415 15088622 15532405 27794830 30177244 31064810 37721555 52810177 55589660 62129620 75443110 105620354 150886220 211240708 264050885 528101770 1056203540