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1320872130 = 233516330013
BaseRepresentation
bin100111010111010…
…1110100011000010
310102001110020221000
41032232232203002
510201120402010
6335022512430
744506141104
oct11656564302
93361406830
101320872130
11618663866
1230a435716
13180865356
14c75d5574
157ae647c0
hex4ebae8c2

1320872130 has 64 divisors (see below), whose sum is σ = 3544053120. Its totient is φ = 350059968.

The previous prime is 1320872089. The next prime is 1320872177. The reversal of 1320872130 is 312780231.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1320872094 and 1320872103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29004 + ... + 59016.

It is an arithmetic number, because the mean of its divisors is an integer number (55375830).

Almost surely, 21320872130 is an apocalyptic number.

1320872130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320872130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772026560).

1320872130 is an abundant number, since it is smaller than the sum of its proper divisors (2223180990).

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

1320872130 is a wasteful number, since it uses less digits than its factorization.

1320872130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30192 (or 30186 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1320872130 is about 36343.8045614380. The cubic root of 1320872130 is about 1097.2028464077.

The spelling of 1320872130 in words is "one billion, three hundred twenty million, eight hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 163 270 326 489 815 978 1467 1630 2445 2934 4401 4890 7335 8802 14670 22005 30013 44010 60026 90039 150065 180078 270117 300130 450195 540234 810351 900390 1350585 1620702 2701170 4051755 4892119 8103510 9784238 14676357 24460595 29352714 44029071 48921190 73381785 88058142 132087213 146763570 220145355 264174426 440290710 660436065 1320872130