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15074080 = 255743313
BaseRepresentation
bin111001100000…
…001100100000
31001100211202021
4321200030200
512324332310
61255031224
7242061520
oct71401440
931324667
1015074080
11856641a
12506b514
13317a298
142005680
1514cb5da
hexe60320

15074080 has 96 divisors (see below), whose sum is σ = 41779584. Its totient is φ = 5031936.

The previous prime is 15073999. The next prime is 15074099. The reversal of 15074080 is 8047051.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48004 + ... + 48316.

It is an arithmetic number, because the mean of its divisors is an integer number (435204).

Almost surely, 215074080 is an apocalyptic number.

15074080 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 15074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889792).

15074080 is an abundant number, since it is smaller than the sum of its proper divisors (26705504).

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

15074080 is a wasteful number, since it uses less digits than its factorization.

15074080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 15074080 is about 3882.5352541864. The cubic root of 15074080 is about 247.0265342177.

The spelling of 15074080 in words is "fifteen million, seventy-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 280 301 313 344 430 560 602 626 688 860 1120 1204 1252 1376 1505 1565 1720 2191 2408 2504 3010 3130 3440 4382 4816 5008 6020 6260 6880 8764 9632 10016 10955 12040 12520 13459 17528 21910 24080 25040 26918 35056 43820 48160 50080 53836 67295 70112 87640 94213 107672 134590 175280 188426 215344 269180 350560 376852 430688 471065 538360 753704 942130 1076720 1507408 1884260 2153440 3014816 3768520 7537040 15074080