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2542124 = 2213193183
BaseRepresentation
bin1001101100101000101100
311210011010202
421230220230
51122321444
6130253032
730415304
oct11545054
94704122
102542124
111486a32
12a27178
136b0120
144a2604
1535334e
hex26ca2c

2542124 has 48 divisors (see below), whose sum is σ = 5268480. Its totient is φ = 1062720.

The previous prime is 2542109. The next prime is 2542139. The reversal of 2542124 is 4212452.

2542124 = T1 + T2 + ... + T247.

It is a happy number.

2542124 is a nontrivial binomial coefficient, being equal to C(249, 3).

It is an interprime number because it is at equal distance from previous prime (2542109) and next prime (2542139).

It is a junction number, because it is equal to n+sod(n) for n = 2542096 and 2542105.

It is a congruent number.

It is an unprimeable number.

It is the 247-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30587 + ... + 30669.

It is an arithmetic number, because the mean of its divisors is an integer number (109760).

22542124 is an apocalyptic number.

It is an amenable number.

2542124 is an abundant number, since it is smaller than the sum of its proper divisors (2726356).

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

2542124 is a wasteful number, since it uses less digits than its factorization.

2542124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its digits is 640, while the sum is 20.

The square root of 2542124 is about 1594.4039638686. The cubic root of 2542124 is about 136.4789199379.

Adding to 2542124 its reverse (4212452), we get a palindrome (6754576).

The spelling of 2542124 in words is "two million, five hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 13 19 26 31 38 52 62 76 83 124 166 247 332 403 494 589 806 988 1079 1178 1577 1612 2158 2356 2573 3154 4316 5146 6308 7657 10292 15314 20501 30628 33449 41002 48887 66898 82004 97774 133796 195548 635531 1271062 2542124