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5158080 = 26345199
BaseRepresentation
bin10011101011010011000000
3100201001120000
4103223103000
52310024310
6302320000
761562064
oct23532300
910631500
105158080
112a03384
121889000
1310b7a25
14983aa4
156bd4c0
hex4eb4c0

5158080 has 140 divisors (see below), whose sum is σ = 18440400. Its totient is φ = 1368576.

The previous prime is 5158073. The next prime is 5158081. The reversal of 5158080 is 808515.

5158080 is a `hidden beast` number, since 5 + 1 + 580 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5158081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25821 + ... + 26019.

Almost surely, 25158080 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 5158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220200).

5158080 is an abundant number, since it is smaller than the sum of its proper divisors (13282320).

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

5158080 is a wasteful number, since it uses less digits than its factorization.

5158080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 5158080 is about 2271.1406825646. The cubic root of 5158080 is about 172.7810164331.

The spelling of 5158080 in words is "five million, one hundred fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 199 216 240 270 288 320 324 360 398 405 432 480 540 576 597 648 720 796 810 864 960 995 1080 1194 1296 1440 1592 1620 1728 1791 1990 2160 2388 2592 2880 2985 3184 3240 3582 3980 4320 4776 5184 5373 5970 6368 6480 7164 7960 8640 8955 9552 10746 11940 12736 12960 14328 15920 16119 17910 19104 21492 23880 25920 26865 28656 31840 32238 35820 38208 42984 47760 53730 57312 63680 64476 71640 80595 85968 95520 107460 114624 128952 143280 161190 171936 191040 214920 257904 286560 322380 343872 429840 515808 573120 644760 859680 1031616 1289520 1719360 2579040 5158080