Search a number
-
+
1063691352 = 233412371327
BaseRepresentation
bin111111011001101…
…010010001011000
32202010112010020000
4333121222101120
54134301110402
6253314333000
735234140653
oct7731522130
92663463200
101063691352
114a6476069
1225828a160
1313c4aa389
14a13aa89a
15635b2c1c
hex3f66a458

1063691352 has 80 divisors (see below), whose sum is σ = 2983976160. Its totient is φ = 354010176.

The previous prime is 1063691351. The next prime is 1063691359. The reversal of 1063691352 is 2531963601.

1063691352 is a `hidden beast` number, since 1 + 0 + 636 + 9 + 13 + 5 + 2 = 666.

It is a super-2 number, since 2×10636913522 = 2262878584639175808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063691351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 800913 + ... + 802239.

It is an arithmetic number, because the mean of its divisors is an integer number (37299702).

Almost surely, 21063691352 is an apocalyptic number.

1063691352 is a gapful number since it is divisible by the number (12) 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 1063691352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491988080).

1063691352 is an abundant number, since it is smaller than the sum of its proper divisors (1920284808).

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

1063691352 is a wasteful number, since it uses less digits than its factorization.

1063691352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1063691352 is about 32614.2814116761. The cubic root of 1063691352 is about 1020.7950203134.

The spelling of 1063691352 in words is "one billion, sixty-three million, six hundred ninety-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1237 1327 2474 2654 3711 3981 4948 5308 7422 7962 9896 10616 11133 11943 14844 15924 22266 23886 29688 31848 33399 35829 44532 47772 66798 71658 89064 95544 100197 107487 133596 143316 200394 214974 267192 286632 400788 429948 801576 859896 1641499 3282998 4924497 6565996 9848994 13131992 14773491 19697988 29546982 39395976 44320473 59093964 88640946 118187928 132961419 177281892 265922838 354563784 531845676 1063691352