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2531880 = 2332513541
BaseRepresentation
bin1001101010001000101000
311202122002100
421222020220
51122010010
6130133400
730343401
oct11521050
94678070
102531880
11147a26a
12a21260
136a8570
1449c9a8
153502c0
hex26a228

2531880 has 96 divisors (see below), whose sum is σ = 8877960. Its totient is φ = 622080.

The previous prime is 2531869. The next prime is 2531891. The reversal of 2531880 is 881352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2531869) and next prime (2531891).

It can be written as a sum of positive squares in 4 ways, for example, as 1454436 + 1077444 = 1206^2 + 1038^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4410 + ... + 4950.

22531880 is an apocalyptic number.

2531880 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 2531880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438980).

2531880 is an abundant number, since it is smaller than the sum of its proper divisors (6346080).

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

2531880 is a wasteful number, since it uses less digits than its factorization.

2531880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2531880 is about 1591.1882352506. The cubic root of 2531880 is about 136.2953500527.

The spelling of 2531880 in words is "two million, five hundred thirty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 541 585 780 936 1082 1170 1560 1623 2164 2340 2705 3246 4328 4680 4869 5410 6492 7033 8115 9738 10820 12984 14066 16230 19476 21099 21640 24345 28132 32460 35165 38952 42198 48690 56264 63297 64920 70330 84396 97380 105495 126594 140660 168792 194760 210990 253188 281320 316485 421980 506376 632970 843960 1265940 2531880