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2120300592 = 243197929429
BaseRepresentation
bin111111001100001…
…0011100000110000
312110202201102121120
41332120103200300
513320244104332
6550221222240
7103354154244
oct17630234060
95422642546
102120300592
11998944243
124b2101980
1327a378047
14161852424
15c622732c
hex7e613830

2120300592 has 80 divisors (see below), whose sum is σ = 5838912000. Its totient is φ = 661070592.

The previous prime is 2120300587. The next prime is 2120300597. The reversal of 2120300592 is 2950030212.

It is an interprime number because it is at equal distance from previous prime (2120300587) and next prime (2120300597).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2120300597) 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, 57334 + ... + 86762.

It is an arithmetic number, because the mean of its divisors is an integer number (72986400).

Almost surely, 22120300592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120300592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919456000).

2120300592 is an abundant number, since it is smaller than the sum of its proper divisors (3718611408).

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

2120300592 is a wasteful number, since it uses less digits than its factorization.

2120300592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29538 (or 29532 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2120300592 is about 46046.7218377161. The cubic root of 2120300592 is about 1284.6923702518.

The spelling of 2120300592 in words is "two billion, one hundred twenty million, three hundred thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 912 948 1264 1501 1896 3002 3792 4503 6004 9006 12008 18012 24016 29429 36024 58858 72048 88287 117716 176574 235432 353148 470864 559151 706296 1118302 1412592 1677453 2236604 2324891 3354906 4473208 4649782 6709812 6974673 8946416 9299564 13419624 13949346 18599128 26839248 27898692 37198256 44172929 55797384 88345858 111594768 132518787 176691716 265037574 353383432 530075148 706766864 1060150296 2120300592