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2491680 = 253529179
BaseRepresentation
bin1001100000010100100000
311200120221110
421200110200
51114213210
6125223320
730115242
oct11402440
94616843
102491680
111452044
12a01b40
13693189
1448c092
15343420
hex260520

2491680 has 96 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 637952.

The previous prime is 2491669. The next prime is 2491681. The reversal of 2491680 is 861942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13831 + ... + 14009.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

22491680 is an apocalyptic number.

2491680 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 2491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2491680 is an abundant number, since it is smaller than the sum of its proper divisors (5673120).

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

2491680 is a wasteful number, since it uses less digits than its factorization.

2491680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2491680 is about 1578.5056224163. The cubic root of 2491680 is about 135.5701538022.

The spelling of 2491680 in words is "two million, four hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 179 232 240 290 348 358 435 464 480 537 580 696 716 870 895 928 1074 1160 1392 1432 1740 1790 2148 2320 2685 2784 2864 3480 3580 4296 4640 5191 5370 5728 6960 7160 8592 10382 10740 13920 14320 15573 17184 20764 21480 25955 28640 31146 41528 42960 51910 62292 77865 83056 85920 103820 124584 155730 166112 207640 249168 311460 415280 498336 622920 830560 1245840 2491680