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10042500 = 2235413103
BaseRepresentation
bin100110010011…
…110010000100
3200220012201110
4212103302010
510032330000
6555125020
7151234266
oct46236204
920805643
1010042500
11573a096
123443770
132108010
141495b36
15d35850
hex993c84

10042500 has 120 divisors (see below), whose sum is σ = 31839808. Its totient is φ = 2448000.

The previous prime is 10042489. The next prime is 10042523. The reversal of 10042500 is 524001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97449 + ... + 97551.

Almost surely, 210042500 is an apocalyptic number.

10042500 is a gapful number since it is divisible by the number (10) 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 10042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15919904).

10042500 is an abundant number, since it is smaller than the sum of its proper divisors (21797308).

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

10042500 is a wasteful number, since it uses less digits than its factorization.

10042500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

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

The square root of 10042500 is about 3168.9903754982. The cubic root of 10042500 is about 215.7482492192.

Adding to 10042500 its reverse (524001), we get a palindrome (10566501).

The spelling of 10042500 in words is "ten million, forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 103 125 130 150 156 195 206 250 260 300 309 325 375 390 412 500 515 618 625 650 750 780 975 1030 1236 1250 1300 1339 1500 1545 1625 1875 1950 2060 2500 2575 2678 3090 3250 3750 3900 4017 4875 5150 5356 6180 6500 6695 7500 7725 8034 8125 9750 10300 12875 13390 15450 16068 16250 19500 20085 24375 25750 26780 30900 32500 33475 38625 40170 48750 51500 64375 66950 77250 80340 97500 100425 128750 133900 154500 167375 193125 200850 257500 334750 386250 401700 502125 669500 772500 836875 1004250 1673750 2008500 2510625 3347500 5021250 10042500