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2328190760 = 23572929887
BaseRepresentation
bin1000101011000101…
…0101111100101000
320000020220100022102
42022301111330220
514232004101020
61023005112532
7111460203110
oct21261257450
96006810272
102328190760
11a952261a5
1254b858748
132b146578c
141812ca040
15d95de475
hex8ac55f28

2328190760 has 96 divisors (see below), whose sum is σ = 6200962560. Its totient is φ = 770633472.

The previous prime is 2328190759. The next prime is 2328190763. The reversal of 2328190760 is 670918232.

It is not an unprimeable number, because it can be changed into a prime (2328190763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230537 + ... + 240423.

It is an arithmetic number, because the mean of its divisors is an integer number (64593360).

Almost surely, 22328190760 is an apocalyptic number.

2328190760 is a gapful number since it is divisible by the number (20) 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 2328190760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100481280).

2328190760 is an abundant number, since it is smaller than the sum of its proper divisors (3872771800).

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

2328190760 is a wasteful number, since it uses less digits than its factorization.

2328190760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2328190760 is about 48251.3291008652. The cubic root of 2328190760 is about 1325.3772766876.

The spelling of 2328190760 in words is "two billion, three hundred twenty-eight million, one hundred ninety thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 841 1015 1160 1624 1682 2030 3364 4060 4205 5887 6728 8120 8410 9887 11774 16820 19774 23548 29435 33640 39548 47096 49435 58870 69209 79096 98870 117740 138418 197740 235480 276836 286723 346045 395480 553672 573446 692090 1146892 1384180 1433615 2007061 2293784 2768360 2867230 4014122 5734460 8028244 8314967 10035305 11468920 16056488 16629934 20070610 33259868 40141220 41574835 58204769 66519736 80282440 83149670 116409538 166299340 232819076 291023845 332598680 465638152 582047690 1164095380 2328190760