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1027068220 = 2252313916063
BaseRepresentation
bin111101001101111…
…101000100111100
32122120121110201201
4331031331010330
54100412140340
6245525345244
734310635663
oct7515750474
92576543651
101027068220
11487831612
12247b68224
13134a26899
149a595dda
156027b79a
hex3d37d13c

1027068220 has 48 divisors (see below), whose sum is σ = 2266951680. Its totient is φ = 390113856.

The previous prime is 1027068191. The next prime is 1027068227. The reversal of 1027068220 is 228607201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027068227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55909 + ... + 71971.

It is an arithmetic number, because the mean of its divisors is an integer number (47228160).

Almost surely, 21027068220 is an apocalyptic number.

1027068220 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 1027068220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133475840).

1027068220 is an abundant number, since it is smaller than the sum of its proper divisors (1239883460).

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

1027068220 is a wasteful number, since it uses less digits than its factorization.

1027068220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16234 (or 16232 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1027068220 is about 32047.9050797396. The cubic root of 1027068220 is about 1008.9425327335.

The spelling of 1027068220 in words is "one billion, twenty-seven million, sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 139 230 278 460 556 695 1390 2780 3197 6394 12788 15985 16063 31970 32126 63940 64252 80315 160630 321260 369449 738898 1477796 1847245 2232757 3694490 4465514 7388980 8931028 11163785 22327570 44655140 51353411 102706822 205413644 256767055 513534110 1027068220