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1076632640 = 2657147387
BaseRepresentation
bin100000000101100…
…0001110001000000
32210000212121022222
41000023001301000
54201104221030
6254455550212
735452140446
oct10013016100
92700777288
101076632640
11502805046
1226068b368
1314208b945
14a2db8b96
15647bc3e5
hex402c1c40

1076632640 has 56 divisors (see below), whose sum is σ = 2599895232. Its totient is φ = 424578560.

The previous prime is 1076632639. The next prime is 1076632643. The reversal of 1076632640 is 462366701.

It is a self number, because there is not a number n which added to its sum of digits gives 1076632640.

It is not an unprimeable number, because it can be changed into a prime (1076632643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974 + ... + 46413.

Almost surely, 21076632640 is an apocalyptic number.

1076632640 is a gapful number since it is divisible by the number (10) 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 1076632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299947616).

1076632640 is an abundant number, since it is smaller than the sum of its proper divisors (1523262592).

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

1076632640 is an equidigital number, since it uses as much as digits as its factorization.

1076632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47475 (or 47465 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 1076632640 is about 32812.0807020829. The cubic root of 1076632640 is about 1024.9181421839.

The spelling of 1076632640 in words is "one billion, seventy-six million, six hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 11360 22720 47387 94774 189548 236935 379096 473870 758192 947740 1516384 1895480 3032768 3364477 3790960 6728954 7581920 13457908 15163840 16822385 26915816 33644770 53831632 67289540 107663264 134579080 215326528 269158160 538316320 1076632640