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2120235040 = 255711172097
BaseRepresentation
bin111111001100000…
…0011100000100000
312110202121002200201
41332120003200200
513320240010130
6550215554544
7103353462160
oct17630034040
95422532621
102120235040
119988a9a70
124b208ba54
1327a354261
141618365a0
15c6212bca
hex7e603820

2120235040 has 96 divisors (see below), whose sum is σ = 6245092224. Its totient is φ = 660848640.

The previous prime is 2120235017. The next prime is 2120235041. The reversal of 2120235040 is 405320212.

It is a junction number, because it is equal to n+sod(n) for n = 2120234999 and 2120235017.

It is not an unprimeable number, because it can be changed into a prime (2120235041) 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, 73729 + ... + 98368.

It is an arithmetic number, because the mean of its divisors is an integer number (65053044).

Almost surely, 22120235040 is an apocalyptic number.

2120235040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120235040 is an abundant number, since it is smaller than the sum of its proper divisors (4124857184).

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

2120235040 is a wasteful number, since it uses less digits than its factorization.

2120235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172130 (or 172122 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2120235040 is about 46046.0100334437. The cubic root of 2120235040 is about 1284.6791307733.

Adding to 2120235040 its reverse (405320212), we get a palindrome (2525555252).

The spelling of 2120235040 in words is "two billion, one hundred twenty million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 172097 344194 688388 860485 1204679 1376776 1720970 1893067 2409358 2753552 3441940 3786134 4818716 5507104 6023395 6883880 7572268 9465335 9637432 12046790 13251469 13767760 15144536 18930670 19274864 24093580 26502938 27535520 30289072 37861340 38549728 48187160 53005876 60578144 66257345 75722680 96374320 106011752 132514690 151445360 192748640 212023504 265029380 302890720 424047008 530058760 1060117520 2120235040