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1035697428 = 22347343789
BaseRepresentation
bin111101101110110…
…111110100010100
32200011211212210000
4331232313310110
54110114304203
6250434331300
734444166013
oct7556676424
92604755700
101035697428
11491695897
1224aa29b30
1313675851c
149b7a0a7a
1560dd34a3
hex3dbb7d14

1035697428 has 60 divisors (see below), whose sum is σ = 2744669620. Its totient is φ = 340495488.

The previous prime is 1035697417. The next prime is 1035697447. The reversal of 1035697428 is 8247965301.

1035697428 is a `hidden beast` number, since 10 + 3 + 569 + 74 + 2 + 8 = 666.

1035697428 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 742671504 + 293025924 = 27252^2 + 17118^2 .

It is a super-3 number, since 3×10356974283 (a number of 28 digits) contains 333 as substring.

1035697428 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1758 + ... + 45546.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1035697428 = 2071394856, but 3⋅1035697428 = 3107092284 is not.

Almost surely, 21035697428 is an apocalyptic number.

1035697428 is a gapful number since it is divisible by the number (18) 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 1035697428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372334810).

1035697428 is an abundant number, since it is smaller than the sum of its proper divisors (1708972192).

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

1035697428 is a wasteful number, since it uses less digits than its factorization.

1035697428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43878 (or 43867 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1035697428 is about 32182.2533083064. The cubic root of 1035697428 is about 1011.7602959386.

The spelling of 1035697428 in words is "one billion, thirty-five million, six hundred ninety-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 5913 7884 11826 23652 43789 87578 131367 175156 262734 394101 525468 788202 1182303 1576404 2364606 3196597 3546909 4729212 6393194 7093818 9589791 12786388 14187636 19179582 28769373 38359164 57538746 86308119 115077492 172616238 258924357 345232476 517848714 1035697428