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3055320 = 233452341
BaseRepresentation
bin1011101001111011011000
312202020010000
423221323120
51240232240
6145253000
734653432
oct13517330
95666100
103055320
1117a7564
121034160
1382c8a8
14597652
15405430
hex2e9ed8

3055320 has 160 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 760320.

The previous prime is 3055319. The next prime is 3055321. The reversal of 3055320 is 235503.

It is an interprime number because it is at equal distance from previous prime (3055319) and next prime (3055321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3055293 and 3055302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3055321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74500 + ... + 74540.

It is an arithmetic number, because the mean of its divisors is an integer number (68607).

Almost surely, 23055320 is an apocalyptic number.

3055320 is a gapful number since it is divisible by the number (30) 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 3055320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

3055320 is an abundant number, since it is smaller than the sum of its proper divisors (7921800).

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

3055320 is a wasteful number, since it uses less digits than its factorization.

3055320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 3055320 is about 1747.9473676287. The cubic root of 3055320 is about 145.1060658751.

It can be divided in two parts, 3055 and 320, that added together give a cube (3375 = 153).

The spelling of 3055320 in words is "three million, fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 41 45 46 54 60 69 72 81 82 90 92 108 115 120 123 135 138 162 164 180 184 205 207 216 230 246 270 276 324 328 345 360 369 405 410 414 460 492 540 552 615 621 648 690 738 810 820 828 920 943 984 1035 1080 1107 1230 1242 1380 1476 1620 1640 1656 1845 1863 1886 2070 2214 2460 2484 2760 2829 2952 3105 3240 3321 3690 3726 3772 4140 4428 4715 4920 4968 5535 5658 6210 6642 7380 7452 7544 8280 8487 8856 9315 9430 11070 11316 12420 13284 14145 14760 14904 16605 16974 18630 18860 22140 22632 24840 25461 26568 28290 33210 33948 37260 37720 42435 44280 50922 56580 66420 67896 74520 76383 84870 101844 113160 127305 132840 152766 169740 203688 254610 305532 339480 381915 509220 611064 763830 1018440 1527660 3055320