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1310420120 = 235193746601
BaseRepresentation
bin100111000011011…
…0110110010011000
310101022210020110112
41032012312302120
510140431420440
6334010503452
744321246552
oct11606666230
93338706415
101310420120
11612775039
12306a34b88
1317b645b29
14c60744d2
157a09c965
hex4e1b6c98

1310420120 has 64 divisors (see below), whose sum is σ = 3187576800. Its totient is φ = 483148800.

The previous prime is 1310420107. The next prime is 1310420123. The reversal of 1310420120 is 210240131.

It is a junction number, because it is equal to n+sod(n) for n = 1310420095 and 1310420104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310420123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4820 + ... + 51420.

Almost surely, 21310420120 is an apocalyptic number.

1310420120 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 1310420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593788400).

1310420120 is an abundant number, since it is smaller than the sum of its proper divisors (1877156680).

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

1310420120 is a wasteful number, since it uses less digits than its factorization.

1310420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46668 (or 46664 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1310420120 is about 36199.7254133232. The cubic root of 1310420120 is about 1094.3011379859.

Adding to 1310420120 its reverse (210240131), we get a palindrome (1520660251).

The spelling of 1310420120 in words is "one billion, three hundred ten million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 1406 1480 2812 3515 5624 7030 14060 28120 46601 93202 186404 233005 372808 466010 885419 932020 1724237 1770838 1864040 3448474 3541676 4427095 6896948 7083352 8621185 8854190 13793896 17242370 17708380 32760503 34484740 35416760 65521006 68969480 131042012 163802515 262084024 327605030 655210060 1310420120