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1052515040 = 25512751797
BaseRepresentation
bin111110101111000…
…001101011100000
32201100111022012112
4332233001223200
54123420440130
6252235014452
735040141653
oct7657015340
92640438175
101052515040
114a0132145
1225459a428
1313a096285
149dadb89a
1562606495
hex3ebc1ae0

1052515040 has 48 divisors (see below), whose sum is σ = 2506194432. Its totient is φ = 417682944.

The previous prime is 1052515031. The next prime is 1052515049. The reversal of 1052515040 is 405152501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1052515031) and next prime (1052515049).

It is a super-2 number, since 2×10525150402 = 2215575818852403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052514997 and 1052515015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052515049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5579 + ... + 46218.

It is an arithmetic number, because the mean of its divisors is an integer number (52212384).

Almost surely, 21052515040 is an apocalyptic number.

1052515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052515040 is an abundant number, since it is smaller than the sum of its proper divisors (1453679392).

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

1052515040 is a wasteful number, since it uses less digits than its factorization.

1052515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51939 (or 51931 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 1052515040 is about 32442.4881906428. The cubic root of 1052515040 is about 1017.2072264047.

Adding to 1052515040 its reverse (405152501), we get a palindrome (1457667541).

The spelling of 1052515040 in words is "one billion, fifty-two million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 4064 5080 10160 20320 51797 103594 207188 258985 414376 517970 828752 1035940 1657504 2071880 4143760 6578219 8287520 13156438 26312876 32891095 52625752 65782190 105251504 131564380 210503008 263128760 526257520 1052515040