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1035630064 = 24713966523
BaseRepresentation
bin111101101110100…
…111010111110000
32200011201110101001
4331232213113300
54110110130224
6250433051344
734443465430
oct7556472760
92604643331
101035630064
1149164a217
1224a9b6b54
13136733971
149b7842c0
1560dbd544
hex3dba75f0

1035630064 has 40 divisors (see below), whose sum is σ = 2309713280. Its totient is φ = 440641728.

The previous prime is 1035630059. The next prime is 1035630067. The reversal of 1035630064 is 4600365301.

It is a super-3 number, since 3×10356300643 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035630067) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17694 + ... + 48829.

It is an arithmetic number, because the mean of its divisors is an integer number (57742832).

Almost surely, 21035630064 is an apocalyptic number.

1035630064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1035630064 is an abundant number, since it is smaller than the sum of its proper divisors (1274083216).

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

1035630064 is a wasteful number, since it uses less digits than its factorization.

1035630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66677 (or 66671 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 1035630064 is about 32181.2066896193. The cubic root of 1035630064 is about 1011.7383597706.

Adding to 1035630064 its reverse (4600365301), we get a palindrome (5635995365).

The spelling of 1035630064 in words is "one billion, thirty-five million, six hundred thirty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 973 1112 1946 2224 3892 7784 15568 66523 133046 266092 465661 532184 931322 1064368 1862644 3725288 7450576 9246697 18493394 36986788 64726879 73973576 129453758 147947152 258907516 517815032 1035630064