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1307020 = 2251113457
BaseRepresentation
bin100111111000110001100
32110101220011
410333012030
5313311040
644003004
714052361
oct4770614
92411804
101307020
11812a90
12530464
13369bb0
14260468
151ac3ea
hex13f18c

1307020 has 48 divisors (see below), whose sum is σ = 3231648. Its totient is φ = 437760.

The previous prime is 1306997. The next prime is 1307051. The reversal of 1307020 is 207031.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a nontrivial repunit in base 109.

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 15 ways as a sum of consecutive naturals, for example, 2632 + ... + 3088.

It is an arithmetic number, because the mean of its divisors is an integer number (67326).

21307020 is an apocalyptic number.

1307020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1307020 is the 572-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615824).

1307020 is an abundant number, since it is smaller than the sum of its proper divisors (1924628).

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

1307020 is a wasteful number, since it uses less digits than its factorization.

1307020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 1307020 is about 1143.2497539908. The cubic root of 1307020 is about 109.3353864708.

The spelling of 1307020 in words is "one million, three hundred seven thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 457 572 715 914 1430 1828 2285 2860 4570 5027 5941 9140 10054 11882 20108 23764 25135 29705 50270 59410 65351 100540 118820 130702 261404 326755 653510 1307020