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5410240 = 265112953
BaseRepresentation
bin10100101000110111000000
3101011212110021
4110220313000
52341111430
6311543224
763662203
oct24506700
911155407
105410240
113065880
12198ab14
131175734
14a0b93a
1571d07a
hex528dc0

5410240 has 112 divisors (see below), whose sum is σ = 14813280. Its totient is φ = 1863680.

The previous prime is 5410201. The next prime is 5410253. The reversal of 5410240 is 420145.

5410240 = T1 + T2 + ... + T318.

5410240 is a nontrivial binomial coefficient, being equal to C(320, 3).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is the 318-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102054 + ... + 102106.

Almost surely, 25410240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406640).

5410240 is an abundant number, since it is smaller than the sum of its proper divisors (9403040).

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

5410240 is a wasteful number, since it uses less digits than its factorization.

5410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5410240 is about 2325.9922613801. The cubic root of 5410240 is about 175.5518903494.

Adding to 5410240 its reverse (420145), we get a palindrome (5830385).

The spelling of 5410240 in words is "five million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 53 55 58 64 80 88 106 110 116 145 160 176 212 220 232 265 290 319 320 352 424 440 464 530 580 583 638 704 848 880 928 1060 1160 1166 1276 1537 1595 1696 1760 1856 2120 2320 2332 2552 2915 3074 3190 3392 3520 4240 4640 4664 5104 5830 6148 6380 7685 8480 9280 9328 10208 11660 12296 12760 15370 16907 16960 18656 20416 23320 24592 25520 30740 33814 37312 46640 49184 51040 61480 67628 84535 93280 98368 102080 122960 135256 169070 186560 245920 270512 338140 491840 541024 676280 1082048 1352560 2705120 5410240