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1064550900 = 223527506929
BaseRepresentation
bin111111011100111…
…100000111110100
32202012010210022010
4333130330013310
54140011112100
6253345004220
735244350640
oct7734740764
92665123263
101064550900
114a6a02936
12258623670
1313c71b69a
14a1551c20
15636d2750
hex3f73c1f4

1064550900 has 72 divisors (see below), whose sum is σ = 3520121920. Its totient is φ = 243325440.

The previous prime is 1064550889. The next prime is 1064550901. The reversal of 1064550900 is 90554601.

It is a super-2 number, since 2×10645509002 = 2266537237381620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064550901) 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 23 ways as a sum of consecutive naturals, for example, 251365 + ... + 255564.

Almost surely, 21064550900 is an apocalyptic number.

1064550900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064550900 is an abundant number, since it is smaller than the sum of its proper divisors (2455571020).

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

1064550900 is a wasteful number, since it uses less digits than its factorization.

1064550900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506953 (or 506946 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1064550900 is about 32627.4562293783. The cubic root of 1064550900 is about 1021.0699077232.

The spelling of 1064550900 in words is "one billion, sixty-four million, five hundred fifty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 506929 1013858 1520787 2027716 2534645 3041574 3548503 5069290 6083148 7097006 7603935 10138580 10645509 12673225 14194012 15207870 17742515 21291018 25346450 30415740 35485030 38019675 42582036 50692900 53227545 70970060 76039350 88712575 106455090 152078700 177425150 212910180 266137725 354850300 532275450 1064550900