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1064770432 = 27116711287
BaseRepresentation
bin111111011101110…
…001101110000000
32202012112221102221
4333131301232000
54140040123212
6253353420424
735246253655
oct7735615600
92665487387
101064770432
114a7042870
1225870a714
1313c79759b
14a15abc2c
1563727807
hex3f771b80

1064770432 has 64 divisors (see below), whose sum is σ = 2348807040. Its totient is φ = 476720640.

The previous prime is 1064770403. The next prime is 1064770459. The reversal of 1064770432 is 2340774601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10647704322 = 2267472145722933248, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 88693 + ... + 99979.

It is an arithmetic number, because the mean of its divisors is an integer number (36700110).

Almost surely, 21064770432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174403520).

1064770432 is an abundant number, since it is smaller than the sum of its proper divisors (1284036608).

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

1064770432 is a wasteful number, since it uses less digits than its factorization.

1064770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11379 (or 11367 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 1064770432 is about 32630.8202777681. The cubic root of 1064770432 is about 1021.1400913446.

The spelling of 1064770432 in words is "one billion, sixty-four million, seven hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 352 536 704 737 1072 1408 1474 2144 2948 4288 5896 8576 11287 11792 22574 23584 45148 47168 90296 94336 124157 180592 248314 361184 496628 722368 756229 993256 1444736 1512458 1986512 3024916 3973024 6049832 7946048 8318519 12099664 15892096 16637038 24199328 33274076 48398656 66548152 96797312 133096304 266192608 532385216 1064770432