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1023974640 = 2432513313529
BaseRepresentation
bin111101000010001…
…001110011110000
32122100210022010200
4331002021303300
54044114142030
6245335155200
734242432543
oct7502116360
92570708120
101023974640
11486009337
12246b15b00
131341b2770
1499dcc85a
155ed69d60
hex3d089cf0

1023974640 has 240 divisors, whose sum is σ = 3823921920. Its totient is φ = 243855360.

The previous prime is 1023974621. The next prime is 1023974641. The reversal of 1023974640 is 464793201.

1023974640 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1023974595 and 1023974604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023974641) 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, 288396 + ... + 291924.

It is an arithmetic number, because the mean of its divisors is an integer number (15933008).

Almost surely, 21023974640 is an apocalyptic number.

1023974640 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 1023974640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911960960).

1023974640 is an abundant number, since it is smaller than the sum of its proper divisors (2799947280).

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

1023974640 is a wasteful number, since it uses less digits than its factorization.

1023974640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1023974640 is about 31999.6037475466. The cubic root of 1023974640 is about 1007.9285191186.

The spelling of 1023974640 in words is "one billion, twenty-three million, nine hundred seventy-four thousand, six hundred forty".