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16117080 = 2335722741
BaseRepresentation
bin111101011110…
…110101011000
31010022211110220
4331132311120
513111221310
61333240040
7253664400
oct75366530
933284426
1016117080
119109001
125493020
133453c45
1421d7800
151635670
hexf5ed58

16117080 has 96 divisors (see below), whose sum is σ = 56265840. Its totient is φ = 3682560.

The previous prime is 16117063. The next prime is 16117081. The reversal of 16117080 is 8071161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16117080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16117081) 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, 4510 + ... + 7250.

Almost surely, 216117080 is an apocalyptic number.

16117080 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 16117080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28132920).

16117080 is an abundant number, since it is smaller than the sum of its proper divisors (40148760).

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

16117080 is a wasteful number, since it uses less digits than its factorization.

16117080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 16117080 is about 4014.6083246065. The cubic root of 16117080 is about 252.5973483409.

The spelling of 16117080 in words is "sixteen million, one hundred seventeen thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2741 2940 5482 5880 8223 10964 13705 16446 19187 21928 27410 32892 38374 41115 54820 57561 65784 76748 82230 95935 109640 115122 134309 153496 164460 191870 230244 268618 287805 328920 383740 402927 460488 537236 575610 671545 767480 805854 1074472 1151220 1343090 1611708 2014635 2302440 2686180 3223416 4029270 5372360 8058540 16117080