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4131000920 = 235412518903
BaseRepresentation
bin1111011000111010…
…0001001001011000
3101122220012120221002
43312032201021120
531430014012140
61521525404132
7204240633314
oct36616411130
911586176832
104131000920
11182a92a152
12973569648
1350aaca957
142b28d4b44
15192a00415
hexf63a1258

4131000920 has 32 divisors (see below), whose sum is σ = 9521457120. Its totient is φ = 1612097280.

The previous prime is 4131000911. The next prime is 4131000953. The reversal of 4131000920 is 290001314.

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

It is a junction number, because it is equal to n+sod(n) for n = 4131000892 and 4131000901.

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, 1257812 + ... + 1261091.

It is an arithmetic number, because the mean of its divisors is an integer number (297545535).

Almost surely, 24131000920 is an apocalyptic number.

4131000920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131000920 is an abundant number, since it is smaller than the sum of its proper divisors (5390456200).

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

4131000920 is a wasteful number, since it uses less digits than its factorization.

4131000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518955 (or 2518951 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 4131000920 is about 64272.8630138723. The cubic root of 4131000920 is about 1604.5444914859.

The spelling of 4131000920 in words is "four billion, one hundred thirty-one million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 2518903 5037806 10075612 12594515 20151224 25189030 50378060 100756120 103275023 206550046 413100092 516375115 826200184 1032750230 2065500460 4131000920