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1020402320 = 24571822147
BaseRepresentation
bin111100110100100…
…001101010010000
32122010001210211112
4330310201222100
54042210333240
6245130432452
734200163610
oct7464415220
92563053745
101020402320
11483a99403
12245892728
13133531772
149973ca40
155e8b1665
hex3cd21a90

1020402320 has 40 divisors (see below), whose sum is σ = 2711356224. Its totient is φ = 349852032.

The previous prime is 1020402319. The next prime is 1020402329. The reversal of 1020402320 is 232040201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10204023202 = 2082441789322764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1020402295 and 1020402304.

It is not an unprimeable number, because it can be changed into a prime (1020402329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 910514 + ... + 911633.

Almost surely, 21020402320 is an apocalyptic number.

1020402320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020402320 is an abundant number, since it is smaller than the sum of its proper divisors (1690953904).

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

1020402320 is a wasteful number, since it uses less digits than its factorization.

1020402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822167 (or 1822161 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1020402320 is about 31943.7367882970. The cubic root of 1020402320 is about 1006.7550400222.

Adding to 1020402320 its reverse (232040201), we get a palindrome (1252442521).

The spelling of 1020402320 in words is "one billion, twenty million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1822147 3644294 7288588 9110735 12755029 14577176 18221470 25510058 29154352 36442940 51020116 63775145 72885880 102040232 127550290 145771760 204080464 255100580 510201160 1020402320