[go: up one dir, main page]

Search a number
-
+
30252400 = 2452531427
BaseRepresentation
bin111001101100…
…1110101110000
32002220222111021
41303121311300
530221034100
63000225224
7515066263
oct163316560
962828437
1030252400
1116093092
12a16b214
136362b39
144036cda
1529c8a1a
hex1cd9d70

30252400 has 60 divisors (see below), whose sum is σ = 74104632. Its totient is φ = 11864320.

The previous prime is 30252379. The next prime is 30252413. The reversal of 30252400 is 425203.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 20487 + ... + 21913.

Almost surely, 230252400 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 30252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37052316).

30252400 is an abundant number, since it is smaller than the sum of its proper divisors (43852232).

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

30252400 is a wasteful number, since it uses less digits than its factorization.

30252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 30252400 is about 5500.2181774908. The cubic root of 30252400 is about 311.5922242382.

Adding to 30252400 its reverse (425203), we get a palindrome (30677603).

The spelling of 30252400 in words is "thirty million, two hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 1427 2120 2650 2854 4240 5300 5708 7135 10600 11416 14270 21200 22832 28540 35675 57080 71350 75631 114160 142700 151262 285400 302524 378155 570800 605048 756310 1210096 1512620 1890775 3025240 3781550 6050480 7563100 15126200 30252400