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203420140 = 225711314261
BaseRepresentation
bin11000001111111…
…11000111101100
3112011202210222021
430013333013230
5404033421030
632103555524
75020020430
oct1407770754
9464683867
10203420140
11a4909620
125815bba4
13331b3c61
141d0329c0
1512cd297a
hexc1ff1ec

203420140 has 96 divisors (see below), whose sum is σ = 549900288. Its totient is φ = 61344000.

The previous prime is 203420131. The next prime is 203420153. The reversal of 203420140 is 41024302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45610 + ... + 49870.

It is an arithmetic number, because the mean of its divisors is an integer number (5728128).

Almost surely, 2203420140 is an apocalyptic number.

203420140 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 203420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274950144).

203420140 is an abundant number, since it is smaller than the sum of its proper divisors (346480148).

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

203420140 is a wasteful number, since it uses less digits than its factorization.

203420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 203420140 is about 14262.5432514682. The cubic root of 203420140 is about 588.1182409875.

Adding to 203420140 its reverse (41024302), we get a palindrome (244444442).

The spelling of 203420140 in words is "two hundred three million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 3410 4261 4340 4774 6820 8522 9548 11935 17044 21305 23870 29827 42610 46871 47740 59654 85220 93742 119308 132091 149135 187484 234355 264182 298270 328097 468710 528364 596540 656194 660455 924637 937420 1312388 1320910 1453001 1640485 1849274 2641820 2906002 3280970 3698548 4623185 5812004 6561940 7265005 9246370 10171007 14530010 18492740 20342014 29060020 40684028 50855035 101710070 203420140