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1900428 = 2232943127
BaseRepresentation
bin111001111111110001100
310120112220020
413033332030
5441303203
6104422140
722103415
oct7177614
93515806
101900428
111088902
12777950
1351701a
1437680c
15278153
hex1cff8c

1900428 has 48 divisors (see below), whose sum is σ = 4730880. Its totient is φ = 592704.

The previous prime is 1900397. The next prime is 1900429. The reversal of 1900428 is 8240091.

It is a super-2 number, since 2×19004282 = 7223253166368, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1900398 and 1900407.

It is not an unprimeable number, because it can be changed into a prime (1900429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14901 + ... + 15027.

It is an arithmetic number, because the mean of its divisors is an integer number (98560).

21900428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365440).

1900428 is an abundant number, since it is smaller than the sum of its proper divisors (2830452).

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

1900428 is a wasteful number, since it uses less digits than its factorization.

1900428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1900428 is about 1378.5601183844. The cubic root of 1900428 is about 123.8655323468.

The spelling of 1900428 in words is "one million, nine hundred thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 127 129 172 174 254 258 348 381 508 516 762 1247 1524 2494 3683 3741 4988 5461 7366 7482 10922 11049 14732 14964 16383 21844 22098 32766 44196 65532 158369 316738 475107 633476 950214 1900428