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1014677028 = 2232179771697
BaseRepresentation
bin111100011110101…
…011111000100100
32121201021221012200
4330132223320210
54034224131103
6244404014500
734100420031
oct7436537044
92551257180
101014677028
11480838962
12243991430
131322a8811
1498a8c388
155e1300a3
hex3c7abe24

1014677028 has 72 divisors (see below), whose sum is σ = 2720134872. Its totient is φ = 317816832.

The previous prime is 1014677023. The next prime is 1014677029. The reversal of 1014677028 is 8207764101.

1014677028 is a `hidden beast` number, since 101 + 467 + 70 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 806105664 + 208571364 = 28392^2 + 14442^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1014676983 and 1014677001.

It is not an unprimeable number, because it can be changed into a prime (1014677023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 597076 + ... + 598772.

It is an arithmetic number, because the mean of its divisors is an integer number (37779651).

Almost surely, 21014677028 is an apocalyptic number.

1014677028 is a gapful number since it is divisible by the number (18) 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 1014677028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360067436).

1014677028 is an abundant number, since it is smaller than the sum of its proper divisors (1705457844).

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

1014677028 is a wasteful number, since it uses less digits than its factorization.

1014677028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1014677028 is about 31853.9954793743. The cubic root of 1014677028 is about 1004.8686009244.

The spelling of 1014677028 in words is "one billion, fourteen million, six hundred seventy-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 977 1697 1954 2931 3394 3908 5091 5862 6788 8793 10182 11724 15273 16609 17586 20364 28849 30546 33218 35172 49827 57698 61092 66436 86547 99654 115396 149481 173094 199308 259641 298962 346188 519282 597924 1038564 1657969 3315938 4973907 6631876 9947814 14921721 19895628 28185473 29843442 56370946 59686884 84556419 112741892 169112838 253669257 338225676 507338514 1014677028