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1056236340 = 2235311573617
BaseRepresentation
bin111110111101001…
…110001100110100
32201121111100212110
4332331032030310
54130344030330
6252450451020
735113601145
oct7675161464
92647440773
101056236340
114a2243aa5
12255893a70
1313aa9a023
14a03c9acc
1562adddb0
hex3ef4e334

1056236340 has 96 divisors (see below), whose sum is σ = 3073158144. Its totient is φ = 270766080.

The previous prime is 1056236329. The next prime is 1056236351. The reversal of 1056236340 is 436326501.

It is an interprime number because it is at equal distance from previous prime (1056236329) and next prime (1056236351).

It is a super-2 number, since 2×10562363402 = 2231270411873191200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1056236298 and 1056236307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290212 + ... + 293828.

It is an arithmetic number, because the mean of its divisors is an integer number (32012064).

Almost surely, 21056236340 is an apocalyptic number.

1056236340 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 1056236340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536579072).

1056236340 is an abundant number, since it is smaller than the sum of its proper divisors (2016921804).

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

1056236340 is a wasteful number, since it uses less digits than its factorization.

1056236340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1056236340 is about 32499.7898454744. The cubic root of 1056236340 is about 1018.4046378986.

The spelling of 1056236340 in words is "one billion, fifty-six million, two hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 157 186 310 314 372 465 471 620 628 785 930 942 1570 1860 1884 2355 3140 3617 4710 4867 7234 9420 9734 10851 14468 14601 18085 19468 21702 24335 29202 36170 43404 48670 54255 58404 72340 73005 97340 108510 112127 146010 217020 224254 292020 336381 448508 560635 567869 672762 1121270 1135738 1345524 1681905 1703607 2242540 2271476 2839345 3363810 3407214 5678690 6727620 6814428 8518035 11357380 17036070 17603939 34072140 35207878 52811817 70415756 88019695 105623634 176039390 211247268 264059085 352078780 528118170 1056236340