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2150400 = 2123527
BaseRepresentation
bin1000001101000000000000
311001020210110
420031000000
51022303100
6114031320
724164250
oct10150000
94036713
102150400
11123969a
12878540
135a3a35
143dd960
152c7250
hex20d000

2150400 has 156 divisors (see below), whose sum is σ = 8125472. Its totient is φ = 491520.

The previous prime is 2150399. The next prime is 2150411. The reversal of 2150400 is 40512.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 200 × 56 × 192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307197 + ... + 307203.

22150400 is an apocalyptic number.

2150400 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 2150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062736).

2150400 is an abundant number, since it is smaller than the sum of its proper divisors (5975072).

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

2150400 is an equidigital number, since it uses as much as digits as its factorization.

2150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2150400 is about 1466.4242223859. The cubic root of 2150400 is about 129.0742916820.

Adding to 2150400 its reverse (40512), we get a palindrome (2190912).

The spelling of 2150400 in words is "two million, one hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 512 525 560 600 640 672 700 768 800 840 896 960 1024 1050 1120 1200 1280 1344 1400 1536 1600 1680 1792 1920 2048 2100 2240 2400 2560 2688 2800 3072 3200 3360 3584 3840 4096 4200 4480 4800 5120 5376 5600 6144 6400 6720 7168 7680 8400 8960 9600 10240 10752 11200 12288 12800 13440 14336 15360 16800 17920 19200 20480 21504 22400 25600 26880 28672 30720 33600 35840 38400 43008 44800 51200 53760 61440 67200 71680 76800 86016 89600 102400 107520 134400 143360 153600 179200 215040 268800 307200 358400 430080 537600 716800 1075200 2150400