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1030061664 = 25331192201
BaseRepresentation
bin111101011001010…
…111111001100000
32122210020112222000
4331121113321200
54102143433124
6250113444000
734345244142
oct7531277140
92583215860
101030061664
11489496635
12248b70600
13135534258
149ab34c92
156066d6c9
hex3d657e60

1030061664 has 48 divisors (see below), whose sum is σ = 3004349040. Its totient is φ = 343353600.

The previous prime is 1030061653. The next prime is 1030061719. The reversal of 1030061664 is 4661600301.

1030061664 is a `hidden beast` number, since 10 + 30 + 0 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10300616642 = 2122054063284897792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 595237 + ... + 596964.

It is an arithmetic number, because the mean of its divisors is an integer number (62590605).

Almost surely, 21030061664 is an apocalyptic number.

It is an amenable number.

1030061664 is an abundant number, since it is smaller than the sum of its proper divisors (1974287376).

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

1030061664 is a wasteful number, since it uses less digits than its factorization.

1030061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192220 (or 1192206 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1030061664 is about 32094.5737469747. The cubic root of 1030061664 is about 1009.9217872317.

Adding to 1030061664 its reverse (4661600301), we get a palindrome (5691661965).

The spelling of 1030061664 in words is "one billion, thirty million, sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1192201 2384402 3576603 4768804 7153206 9537608 10729809 14306412 19075216 21459618 28612824 32189427 38150432 42919236 57225648 64378854 85838472 114451296 128757708 171676944 257515416 343353888 515030832 1030061664