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1056072432 = 243431573259
BaseRepresentation
bin111110111100100…
…110001011110000
32201121012001000210
4332330212023300
54130323304212
6252443144120
735112316242
oct7674461360
92647161023
101056072432
114a2141938
12255815040
1313aa4053c
14a0386092
1562aaa53c
hex3ef262f0

1056072432 has 80 divisors (see below), whose sum is σ = 2810276480. Its totient is φ = 341542656.

The previous prime is 1056072427. The next prime is 1056072449. The reversal of 1056072432 is 2342706501.

It is a super-2 number, since 2×10560724322 = 2230577963260789248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056072432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322419 + ... + 325677.

It is an arithmetic number, because the mean of its divisors is an integer number (35128456).

Almost surely, 21056072432 is an apocalyptic number.

1056072432 is a gapful number since it is divisible by the number (12) 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 1056072432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405138240).

1056072432 is an abundant number, since it is smaller than the sum of its proper divisors (1754204048).

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

1056072432 is a wasteful number, since it uses less digits than its factorization.

1056072432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1056072432 is about 32497.2680697932. The cubic root of 1056072432 is about 1018.3519560961.

Adding to 1056072432 its reverse (2342706501), we get a palindrome (3398778933).

The spelling of 1056072432 in words is "one billion, fifty-six million, seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 157 172 258 314 344 471 516 628 688 942 1032 1256 1884 2064 2512 3259 3768 6518 6751 7536 9777 13036 13502 19554 20253 26072 27004 39108 40506 52144 54008 78216 81012 108016 140137 156432 162024 280274 324048 420411 511663 560548 840822 1023326 1121096 1534989 1681644 2046652 2242192 3069978 3363288 4093304 6139956 6726576 8186608 12279912 22001509 24559824 44003018 66004527 88006036 132009054 176012072 264018108 352024144 528036216 1056072432