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5891340 = 2235713283
BaseRepresentation
bin10110011110010100001100
3102002022101210
4112132110030
53002010330
6330134420
7101034630
oct26362414
912068353
105891340
113364284
121b81410
1312b3700
14ad4dc0
157b58b0
hex59e50c

5891340 has 144 divisors (see below), whose sum is σ = 20659968. Its totient is φ = 1228032.

The previous prime is 5891323. The next prime is 5891357. The reversal of 5891340 is 431985.

5891340 = T175 + T176 + ... + T343.

It is an interprime number because it is at equal distance from previous prime (5891323) and next prime (5891357).

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

It is a junction number, because it is equal to n+sod(n) for n = 5891298 and 5891307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70939 + ... + 71021.

It is an arithmetic number, because the mean of its divisors is an integer number (143472).

Almost surely, 25891340 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 5891340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329984).

5891340 is an abundant number, since it is smaller than the sum of its proper divisors (14768628).

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

5891340 is a wasteful number, since it uses less digits than its factorization.

5891340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5891340 is about 2427.2082728930. The cubic root of 5891340 is about 180.6084348821.

The spelling of 5891340 in words is "five million, eight hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 83 84 91 105 130 140 156 166 169 182 195 210 249 260 273 332 338 364 390 415 420 455 498 507 546 581 676 780 830 845 910 996 1014 1079 1092 1162 1183 1245 1365 1660 1690 1743 1820 2028 2158 2324 2366 2490 2535 2730 2905 3237 3380 3486 3549 4316 4732 4980 5070 5395 5460 5810 5915 6474 6972 7098 7553 8715 10140 10790 11620 11830 12948 14027 14196 15106 16185 17430 17745 21580 22659 23660 28054 30212 32370 34860 35490 37765 42081 45318 56108 64740 70135 70980 75530 84162 90636 98189 113295 140270 151060 168324 196378 210405 226590 280540 294567 392756 420810 453180 490945 589134 841620 981890 1178268 1472835 1963780 2945670 5891340