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9114072 = 23311192379
BaseRepresentation
bin100010110001…
…000111011000
3122011001011020
4202301013120
54313122242
6523202440
7140316432
oct42610730
918131136
109114072
1151655a0
123076420
131b71556
1412d3652
15c006ec
hex8b11d8

9114072 has 128 divisors (see below), whose sum is σ = 27648000. Its totient is φ = 2471040.

The previous prime is 9114059. The next prime is 9114073. The reversal of 9114072 is 2704119.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9114073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115329 + ... + 115407.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 29114072 is an apocalyptic number.

9114072 is a gapful number since it is divisible by the number (92) 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 9114072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824000).

9114072 is an abundant number, since it is smaller than the sum of its proper divisors (18533928).

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

9114072 is a wasteful number, since it uses less digits than its factorization.

9114072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 9114072 is about 3018.9521360896. The cubic root of 9114072 is about 208.8835076494.

The spelling of 9114072 in words is "nine million, one hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 23 24 33 38 44 46 57 66 69 76 79 88 92 114 132 138 152 158 184 209 228 237 253 264 276 316 418 437 456 474 506 552 627 632 759 836 869 874 948 1012 1254 1311 1501 1518 1672 1738 1748 1817 1896 2024 2508 2607 2622 3002 3036 3476 3496 3634 4503 4807 5016 5214 5244 5451 6004 6072 6952 7268 9006 9614 10428 10488 10902 12008 14421 14536 16511 18012 19228 19987 20856 21804 28842 33022 34523 36024 38456 39974 43608 49533 57684 59961 66044 69046 79948 99066 103569 115368 119922 132088 138092 159896 198132 207138 239844 276184 379753 396264 414276 479688 759506 828552 1139259 1519012 2278518 3038024 4557036 9114072