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26928240 = 2435295373
BaseRepresentation
bin110011010111…
…0010001110000
31212200002121020
41212232101300
523343200430
62401055440
7444612663
oct146562160
955602536
1026928240
1114222649
129027580
13576aa91
14380d6da
15256db10
hex19ae470

26928240 has 160 divisors (see below), whose sum is σ = 89190720. Its totient is φ = 6709248.

The previous prime is 26928233. The next prime is 26928247. The reversal of 26928240 is 4282962.

It is an interprime number because it is at equal distance from previous prime (26928233) and next prime (26928247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26928247) 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, 368844 + ... + 368916.

It is an arithmetic number, because the mean of its divisors is an integer number (557442).

Almost surely, 226928240 is an apocalyptic number.

26928240 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 26928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44595360).

26928240 is an abundant number, since it is smaller than the sum of its proper divisors (62262480).

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

26928240 is a wasteful number, since it uses less digits than its factorization.

26928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26928240 is about 5189.2427193185. The cubic root of 26928240 is about 299.7339864145.

The spelling of 26928240 in words is "twenty-six million, nine hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 53 58 60 73 80 87 106 116 120 145 146 159 174 212 219 232 240 265 290 292 318 348 365 424 435 438 464 530 580 584 636 696 730 795 848 870 876 1060 1095 1160 1168 1272 1392 1460 1537 1590 1740 1752 2117 2120 2190 2320 2544 2920 3074 3180 3480 3504 3869 4234 4240 4380 4611 5840 6148 6351 6360 6960 7685 7738 8468 8760 9222 10585 11607 12296 12702 12720 15370 15476 16936 17520 18444 19345 21170 23055 23214 24592 25404 30740 30952 31755 33872 36888 38690 42340 46110 46428 50808 58035 61480 61904 63510 73776 77380 84680 92220 92856 101616 112201 116070 122960 127020 154760 169360 184440 185712 224402 232140 254040 309520 336603 368880 448804 464280 508080 561005 673206 897608 928560 1122010 1346412 1683015 1795216 2244020 2692824 3366030 4488040 5385648 6732060 8976080 13464120 26928240