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5312880 = 2432547157
BaseRepresentation
bin10100010001000101110000
3100222220220100
4110101011300
52330003010
6305512400
763105306
oct24210560
910886810
105312880
112aa9711
121942700
131140321
149c4276
156ee2c0
hex511170

5312880 has 120 divisors (see below), whose sum is σ = 18338112. Its totient is φ = 1377792.

The previous prime is 5312869. The next prime is 5312897. The reversal of 5312880 is 882135.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33762 + ... + 33918.

Almost surely, 25312880 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 5312880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169056).

5312880 is an abundant number, since it is smaller than the sum of its proper divisors (13025232).

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

5312880 is a wasteful number, since it uses less digits than its factorization.

5312880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5312880 is about 2304.9685464231. The cubic root of 5312880 is about 174.4924614220.

The spelling of 5312880 in words is "five million, three hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 157 180 188 235 240 282 314 360 376 423 470 471 564 628 705 720 752 785 846 940 942 1128 1256 1410 1413 1570 1692 1880 1884 2115 2256 2355 2512 2820 2826 3140 3384 3760 3768 4230 4710 5640 5652 6280 6768 7065 7379 7536 8460 9420 11280 11304 12560 14130 14758 16920 18840 22137 22608 28260 29516 33840 36895 37680 44274 56520 59032 66411 73790 88548 110685 113040 118064 132822 147580 177096 221370 265644 295160 332055 354192 442740 531288 590320 664110 885480 1062576 1328220 1770960 2656440 5312880