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1020023400 = 2335211374177
BaseRepresentation
bin111100110011000…
…101001001101000
32122002100120001110
4330303011021220
54042111222100
6245114350320
734164025104
oct7463051150
92562316043
101020023400
1148385a750
1224572b3a0
1313342b156
1499680904
155e839250
hex3ccc5268

1020023400 has 192 divisors, whose sum is σ = 3543612480. Its totient is φ = 240537600.

The previous prime is 1020023399. The next prime is 1020023401. The reversal of 1020023400 is 43200201.

1020023400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020023399) and next prime (1020023401).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1020023401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242112 + ... + 246288.

It is an arithmetic number, because the mean of its divisors is an integer number (18456315).

Almost surely, 21020023400 is an apocalyptic number.

1020023400 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 1020023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771806240).

1020023400 is an abundant number, since it is smaller than the sum of its proper divisors (2523589080).

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

1020023400 is a wasteful number, since it uses less digits than its factorization.

1020023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1020023400 is about 31937.8051844519. The cubic root of 1020023400 is about 1006.6304072043.

Adding to 1020023400 its reverse (43200201), we get a palindrome (1063223601).

The spelling of 1020023400 in words is "one billion, twenty million, twenty-three thousand, four hundred".