Search a number
-
+
15490080 = 2532531347
BaseRepresentation
bin111011000101…
…110000100000
31002010222101200
4323011300200
512431140310
61312001200
7245443404
oct73056040
932128350
1015490080
11881aa21
125230200
133294738
1420b3104
15155e9c0
hexec5c20

15490080 has 144 divisors (see below), whose sum is σ = 54722304. Its totient is φ = 3985920.

The previous prime is 15490039. The next prime is 15490081. The reversal of 15490080 is 8009451.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (15490081) 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, 44467 + ... + 44813.

It is an arithmetic number, because the mean of its divisors is an integer number (380016).

Almost surely, 215490080 is an apocalyptic number.

15490080 is a gapful number since it is divisible by the number (10) 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 15490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361152).

15490080 is an abundant number, since it is smaller than the sum of its proper divisors (39232224).

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

15490080 is a wasteful number, since it uses less digits than its factorization.

15490080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 15490080 is about 3935.7438941069. The cubic root of 15490080 is about 249.2783455304.

The spelling of 15490080 in words is "fifteen million, four hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 347 360 372 465 480 496 558 620 694 720 744 930 992 1041 1116 1240 1388 1395 1440 1488 1735 1860 2082 2232 2480 2776 2790 2976 3123 3470 3720 4164 4464 4960 5205 5552 5580 6246 6940 7440 8328 8928 10410 10757 11104 11160 12492 13880 14880 15615 16656 20820 21514 22320 24984 27760 31230 32271 33312 41640 43028 44640 49968 53785 55520 62460 64542 83280 86056 96813 99936 107570 124920 129084 161355 166560 172112 193626 215140 249840 258168 322710 344224 387252 430280 484065 499680 516336 645420 774504 860560 968130 1032672 1290840 1549008 1721120 1936260 2581680 3098016 3872520 5163360 7745040 15490080