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6090480 = 2432511769
BaseRepresentation
bin10111001110111011110000
3102110102120100
4113032323300
53024343410
6334312400
7102524334
oct27167360
912412510
106090480
11348a960
122058700
131353246
14b477c4
158048c0
hex5ceef0

6090480 has 120 divisors (see below), whose sum is σ = 22342320. Its totient is φ = 1474560.

The previous prime is 6090479. The next prime is 6090481. The reversal of 6090480 is 840906.

It is an interprime number because it is at equal distance from previous prime (6090479) and next prime (6090481).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6090481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7536 + ... + 8304.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 26090480 is an apocalyptic number.

6090480 is a gapful number since it is divisible by the number (60) 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 6090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

6090480 is an abundant number, since it is smaller than the sum of its proper divisors (16251840).

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

6090480 is a wasteful number, since it uses less digits than its factorization.

6090480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6090480 is about 2467.8897868422. The cubic root of 6090480 is about 182.6209119304.

The spelling of 6090480 in words is "six million, ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 769 792 880 990 1320 1538 1584 1980 2307 2640 3076 3845 3960 4614 6152 6921 7690 7920 8459 9228 11535 12304 13842 15380 16918 18456 23070 25377 27684 30760 33836 34605 36912 42295 46140 50754 55368 61520 67672 69210 76131 84590 92280 101508 110736 126885 135344 138420 152262 169180 184560 203016 253770 276840 304524 338360 380655 406032 507540 553680 609048 676720 761310 1015080 1218096 1522620 2030160 3045240 6090480