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16000920 = 23325132263
BaseRepresentation
bin111101000010…
…011110011000
31010002221010200
4331002132120
513044012140
61330542200
7253001625
oct75023630
933087120
1016000920
119039801
125437960
133413100
1421a734c
151611030
hexf42798

16000920 has 144 divisors (see below), whose sum is σ = 56525040. Its totient is φ = 3923712.

The previous prime is 16000903. The next prime is 16000921. The reversal of 16000920 is 2900061.

16000920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16000893 and 16000902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16000921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60709 + ... + 60971.

It is an arithmetic number, because the mean of its divisors is an integer number (392535).

Almost surely, 216000920 is an apocalyptic number.

16000920 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 16000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28262520).

16000920 is an abundant number, since it is smaller than the sum of its proper divisors (40524120).

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

16000920 is a wasteful number, since it uses less digits than its factorization.

16000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 16000920 is about 4000.1149983469. The cubic root of 16000920 is about 251.9890395838.

Adding to 16000920 its reverse (2900061), we get a palindrome (18900981).

The spelling of 16000920 in words is "sixteen million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 263 312 338 360 390 468 507 520 526 585 676 780 789 845 936 1014 1052 1170 1315 1352 1521 1560 1578 1690 2028 2104 2340 2367 2535 2630 3042 3156 3380 3419 3945 4056 4680 4734 5070 5260 6084 6312 6760 6838 7605 7890 9468 10140 10257 10520 11835 12168 13676 15210 15780 17095 18936 20280 20514 23670 27352 30420 30771 31560 34190 41028 44447 47340 51285 60840 61542 68380 82056 88894 94680 102570 123084 133341 136760 153855 177788 205140 222235 246168 266682 307710 355576 400023 410280 444470 533364 615420 666705 800046 888940 1066728 1230840 1333410 1600092 1777880 2000115 2666820 3200184 4000230 5333640 8000460 16000920