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11734020 = 22325194773
BaseRepresentation
bin101100110000…
…110000000100
3211002011001100
4230300300010
511000442040
61055300100
7201510654
oct54606004
924064040
1011734020
116694a41
123b1a630
13257ac0c
1417b6364
15106bb30
hexb30c04

11734020 has 144 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 2861568.

The previous prime is 11734007. The next prime is 11734043. The reversal of 11734020 is 2043711.

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 = 11733984 and 11734002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160704 + ... + 160776.

It is an arithmetic number, because the mean of its divisors is an integer number (269360).

Almost surely, 211734020 is an apocalyptic number.

11734020 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 11734020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

11734020 is an abundant number, since it is smaller than the sum of its proper divisors (27053820).

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

11734020 is a wasteful number, since it uses less digits than its factorization.

11734020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11734020 is about 3425.4955845833. The cubic root of 11734020 is about 227.2386888175.

Adding to 11734020 its reverse (2043711), we get a palindrome (13777731).

The spelling of 11734020 in words is "eleven million, seven hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 73 76 90 94 95 114 141 146 171 180 188 190 219 228 235 282 285 292 342 365 380 423 438 470 564 570 657 684 705 730 846 855 876 893 940 1095 1140 1314 1387 1410 1460 1692 1710 1786 2115 2190 2628 2679 2774 2820 3285 3420 3431 3572 4161 4230 4380 4465 5358 5548 6570 6862 6935 8037 8322 8460 8930 10293 10716 12483 13140 13395 13724 13870 16074 16644 17155 17860 20586 20805 24966 26790 27740 30879 32148 34310 40185 41172 41610 49932 51465 53580 61758 62415 65189 68620 80370 83220 102930 123516 124830 130378 154395 160740 195567 205860 249660 260756 308790 325945 391134 586701 617580 651890 782268 977835 1173402 1303780 1955670 2346804 2933505 3911340 5867010 11734020