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2120591400 = 2335218711889
BaseRepresentation
bin111111001100101…
…1010100000101000
312110210021012112020
41332121122200220
513320332411100
6550231344440
7103356505134
oct17631324050
95423235466
102120591400
11999022784
124b2222120
1327a44a515
141618ca3c4
15c62835a0
hex7e65a828

2120591400 has 96 divisors (see below), whose sum is σ = 6580828800. Its totient is φ = 564889600.

The previous prime is 2120591359. The next prime is 2120591413. The reversal of 2120591400 is 41950212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121656 + ... + 1123544.

It is an arithmetic number, because the mean of its divisors is an integer number (68550300).

Almost surely, 22120591400 is an apocalyptic number.

2120591400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120591400 is an abundant number, since it is smaller than the sum of its proper divisors (4460237400).

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

2120591400 is a wasteful number, since it uses less digits than its factorization.

2120591400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2120591400 is about 46049.8794786696. The cubic root of 2120591400 is about 1284.7511011917.

The spelling of 2120591400 in words is "two billion, one hundred twenty million, five hundred ninety-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1871 1889 3742 3778 5613 5667 7484 7556 9355 9445 11226 11334 14968 15112 18710 18890 22452 22668 28065 28335 37420 37780 44904 45336 46775 47225 56130 56670 74840 75560 93550 94450 112260 113340 140325 141675 187100 188900 224520 226680 280650 283350 374200 377800 561300 566700 1122600 1133400 3534319 7068638 10602957 14137276 17671595 21205914 28274552 35343190 42411828 53014785 70686380 84823656 88357975 106029570 141372760 176715950 212059140 265073925 353431900 424118280 530147850 706863800 1060295700 2120591400