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203694080 = 21354973
BaseRepresentation
bin11000010010000…
…10000000000000
3112012021201202012
430021002000000
5404121202310
632113512052
75022241202
oct1411020000
9465251665
10203694080
11a4a86417
1258272628
133327b855
141d0a4772
1512d38c05
hexc242000

203694080 has 56 divisors (see below), whose sum is σ = 488934252. Its totient is φ = 81461248.

The previous prime is 203694059. The next prime is 203694097. The reversal of 203694080 is 80496302.

It can be written as a sum of positive squares in 2 ways, for example, as 203689984 + 4096 = 14272^2 + 64^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38474 + ... + 43446.

Almost surely, 2203694080 is an apocalyptic number.

203694080 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 203694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244467126).

203694080 is an abundant number, since it is smaller than the sum of its proper divisors (285240172).

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

203694080 is an frugal number, since it uses more digits than its factorization.

203694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 203694080 is about 14272.1434970365. The cubic root of 203694080 is about 588.3821231588.

The spelling of 203694080 in words is "two hundred three million, six hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 4973 5120 8192 9946 10240 19892 20480 24865 39784 40960 49730 79568 99460 159136 198920 318272 397840 636544 795680 1273088 1591360 2546176 3182720 5092352 6365440 10184704 12730880 20369408 25461760 40738816 50923520 101847040 203694080