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1070864032 = 2572719619
BaseRepresentation
bin111111110101000…
…001011010100000
32202122000112021211
4333311001122200
54143120122112
6254132155504
735352123400
oct7765013240
92678015254
101070864032
114aa524aa7
1225a768b94
13140b1c074
14a2316800
156402d0a7
hex3fd416a0

1070864032 has 72 divisors (see below), whose sum is σ = 2487270240. Its totient is φ = 452430720.

The previous prime is 1070864021. The next prime is 1070864033. The reversal of 1070864032 is 2304680701.

1070864032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10708640322 = 2293499550062594048, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1070863985 and 1070864003.

It is not an unprimeable number, because it can be changed into a prime (1070864033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106519 + ... + 116137.

It is an arithmetic number, because the mean of its divisors is an integer number (34545420).

Almost surely, 21070864032 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 1070864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243635120).

1070864032 is an abundant number, since it is smaller than the sum of its proper divisors (1416406208).

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

1070864032 is an equidigital number, since it uses as much as digits as its factorization.

1070864032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9714 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1070864032 is about 32724.0589169498. The cubic root of 1070864032 is about 1023.0843560508.

The spelling of 1070864032 in words is "one billion, seventy million, eight hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 71 98 112 142 196 224 284 392 497 568 784 994 1136 1568 1988 2272 3479 3976 6958 7952 9619 13916 15904 19238 27832 38476 55664 67333 76952 111328 134666 153904 269332 307808 471331 538664 682949 942662 1077328 1365898 1885324 2154656 2731796 3770648 4780643 5463592 7541296 9561286 10927184 15082592 19122572 21854368 33464501 38245144 66929002 76490288 133858004 152980576 267716008 535432016 1070864032