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2137031400 = 233527508817
BaseRepresentation
bin111111101100000…
…1000001011101000
312111221012102222010
41333120020023220
513334040001100
6552015555520
7103646316150
oct17730101350
95457172863
102137031400
119a7331359
124b782bba0
1328098542a
14163b69760
15c792e750
hex7f6082e8

2137031400 has 96 divisors (see below), whose sum is σ = 7571211840. Its totient is φ = 488463360.

The previous prime is 2137031371. The next prime is 2137031401. The reversal of 2137031400 is 41307312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2137031401) 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, 250209 + ... + 258608.

It is an arithmetic number, because the mean of its divisors is an integer number (78866790).

Almost surely, 22137031400 is an apocalyptic number.

2137031400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137031400 is an abundant number, since it is smaller than the sum of its proper divisors (5434180440).

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

2137031400 is a wasteful number, since it uses less digits than its factorization.

2137031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508843 (or 508834 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2137031400 is about 46228.0369472899. The cubic root of 2137031400 is about 1288.0625926013.

Adding to 2137031400 its reverse (41307312), we get a palindrome (2178338712).

The spelling of 2137031400 in words is "two billion, one hundred thirty-seven million, thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 508817 1017634 1526451 2035268 2544085 3052902 3561719 4070536 5088170 6105804 7123438 7632255 10176340 10685157 12211608 12720425 14246876 15264510 17808595 20352680 21370314 25440850 28493752 30529020 35617190 38161275 42740628 50881700 53425785 61058040 71234380 76322550 85481256 89042975 101763400 106851570 142468760 152645100 178085950 213703140 267128925 305290200 356171900 427406280 534257850 712343800 1068515700 2137031400