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1023242240 = 2125172939
BaseRepresentation
bin111100111111010…
…111000000000000
32122022102002110202
4330333113000000
54043422222430
6245311344332
734233262346
oct7477270000
92568362422
101023242240
11485659049
122468220a8
13133cb72a7
1499c7b996
155ec72d45
hex3cfd7000

1023242240 has 104 divisors (see below), whose sum is σ = 2600806320. Its totient is φ = 385089536.

The previous prime is 1023242219. The next prime is 1023242287. The reversal of 1023242240 is 422423201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346691 + ... + 349629.

Almost surely, 21023242240 is an apocalyptic number.

1023242240 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 1023242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300403160).

1023242240 is an abundant number, since it is smaller than the sum of its proper divisors (1577564080).

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

1023242240 is an equidigital number, since it uses as much as digits as its factorization.

1023242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1023242240 is about 31988.1578087892. The cubic root of 1023242240 is about 1007.6881541428.

Adding to 1023242240 its reverse (422423201), we get a palindrome (1445665441).

The spelling of 1023242240 in words is "one billion, twenty-three million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 2939 4096 4352 5120 5440 5878 8704 10240 10880 11756 14695 17408 20480 21760 23512 29390 34816 43520 47024 49963 58780 69632 87040 94048 99926 117560 174080 188096 199852 235120 249815 348160 376192 399704 470240 499630 752384 799408 940480 999260 1504768 1598816 1880960 1998520 3009536 3197632 3761920 3997040 6019072 6395264 7523840 7994080 12038144 12790528 15047680 15988160 25581056 30095360 31976320 51162112 60190720 63952640 102324224 127905280 204648448 255810560 511621120 1023242240