Search a number
-
+
2100750000 = 243562801
BaseRepresentation
bin111110100110110…
…1110011010110000
312102101221011020120
41331031232122300
513300243000000
6544242210240
7103026036366
oct17515563260
95371834216
102100750000
11988900628
124a7653980
132762c134b
1415d003636
15c46646a0
hex7d36e6b0

2100750000 has 140 divisors (see below), whose sum is σ = 6786006888. Its totient is φ = 560000000.

The previous prime is 2100749977. The next prime is 2100750013. The reversal of 2100750000 is 570012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 748600 + ... + 751400.

Almost surely, 22100750000 is an apocalyptic number.

2100750000 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 2100750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393003444).

2100750000 is an abundant number, since it is smaller than the sum of its proper divisors (4685256888).

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

2100750000 is an frugal number, since it uses more digits than its factorization.

2100750000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 2100750000 is about 45833.9393899324. The cubic root of 2100750000 is about 1280.7315967429.

The spelling of 2100750000 in words is "two billion, one hundred million, seven hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 2801 3000 3125 3750 5000 5602 6000 6250 7500 8403 9375 10000 11204 12500 14005 15000 15625 16806 18750 22408 25000 28010 30000 31250 33612 37500 42015 44816 46875 50000 56020 62500 67224 70025 75000 84030 93750 112040 125000 134448 140050 150000 168060 187500 210075 224080 250000 280100 336120 350125 375000 420150 560200 672240 700250 750000 840300 1050375 1120400 1400500 1680600 1750625 2100750 2801000 3361200 3501250 4201500 5251875 5602000 7002500 8403000 8753125 10503750 14005000 16806000 17506250 21007500 26259375 28010000 35012500 42015000 43765625 52518750 70025000 84030000 87531250 105037500 131296875 140050000 175062500 210075000 262593750 350125000 420150000 525187500 700250000 1050375000 2100750000