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1023954240 = 26351066619
BaseRepresentation
bin111101000010000…
…100110101000000
32122100202021011010
4331002010311000
54044113013430
6245334520520
734242316221
oct7502046500
92570667133
101023954240
11485aa4a81
12246b06140
131341a63aa
1499dc5248
155ed63cb0
hex3d084d40

1023954240 has 56 divisors (see below), whose sum is σ = 3251057760. Its totient is φ = 273054208.

The previous prime is 1023954221. The next prime is 1023954271. The reversal of 1023954240 is 424593201.

It is a super-2 number, since 2×10239542402 = 2096964571227955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1023954198 and 1023954207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532350 + ... + 534269.

Almost surely, 21023954240 is an apocalyptic number.

1023954240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023954240 is an abundant number, since it is smaller than the sum of its proper divisors (2227103520).

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

1023954240 is a wasteful number, since it uses less digits than its factorization.

1023954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066639 (or 1066629 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1023954240 is about 31999.2849920119. The cubic root of 1023954240 is about 1007.9218256331.

The spelling of 1023954240 in words is "one billion, twenty-three million, nine hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1066619 2133238 3199857 4266476 5333095 6399714 8532952 10666190 12799428 15999285 17065904 21332380 25598856 31998570 34131808 42664760 51197712 63997140 68263616 85329520 102395424 127994280 170659040 204790848 255988560 341318080 511977120 1023954240