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4680987040 = 25589328721
BaseRepresentation
bin1000101110000001…
…00011000110100000
3110002020002210001101
410113000203012200
534041313041130
62052253444144
7223666506352
oct42700430640
913066083041
104680987040
111a92327934
12aa77a0654
13597a34a22
1432597d0d2
151c5e3e1ca
hex1170231a0

4680987040 has 48 divisors (see below), whose sum is σ = 11183122440. Its totient is φ = 1851351040.

The previous prime is 4680987037. The next prime is 4680987049. The reversal of 4680987040 is 407890864.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2703584016 + 1977403024 = 51996^2 + 44468^2 .

It is not an unprimeable number, because it can be changed into a prime (4680987049) by changing a digit.

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, 150121 + ... + 178600.

Almost surely, 24680987040 is an apocalyptic number.

4680987040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4680987040 is an abundant number, since it is smaller than the sum of its proper divisors (6502135400).

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

4680987040 is a wasteful number, since it uses less digits than its factorization.

4680987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328825 (or 328817 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 4680987040 is about 68417.7392201759. The cubic root of 4680987040 is about 1672.8069066029.

The spelling of 4680987040 in words is "four billion, six hundred eighty million, nine hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 14240 328721 657442 1314884 1643605 2629768 3287210 5259536 6574420 10519072 13148840 26297680 29256169 52595360 58512338 117024676 146280845 234049352 292561690 468098704 585123380 936197408 1170246760 2340493520 4680987040