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2513940 = 22351113293
BaseRepresentation
bin1001100101110000010100
311201201110220
421211300110
51120421230
6125514340
730240162
oct11456024
94651426
102513940
111467840
12a129b0
136a0350
14496232
15349d10
hex265c14

2513940 has 96 divisors (see below), whose sum is σ = 8297856. Its totient is φ = 560640.

The previous prime is 2513899. The next prime is 2513941. The reversal of 2513940 is 493152.

2513940 = 552 + 562 + ... + 1972.

It is a self number, because there is not a number n which added to its sum of digits gives 2513940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8434 + ... + 8726.

It is an arithmetic number, because the mean of its divisors is an integer number (86436).

22513940 is an apocalyptic number.

2513940 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 2513940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148928).

2513940 is an abundant number, since it is smaller than the sum of its proper divisors (5783916).

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

2513940 is a wasteful number, since it uses less digits than its factorization.

2513940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2513940 is about 1585.5409171636. The cubic root of 2513940 is about 135.9726732870.

The spelling of 2513940 in words is "two million, five hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 293 330 390 429 572 586 660 715 780 858 879 1172 1430 1465 1716 1758 2145 2860 2930 3223 3516 3809 4290 4395 5860 6446 7618 8580 8790 9669 11427 12892 15236 16115 17580 19045 19338 22854 32230 38090 38676 41899 45708 48345 57135 64460 76180 83798 96690 114270 125697 167596 193380 209495 228540 251394 418990 502788 628485 837980 1256970 2513940