Search a number
-
+
23573340 = 22325753353
BaseRepresentation
bin101100111101…
…1001101011100
31122100122112200
41121323031130
522013321330
62201131500
7404240640
oct131731534
948318480
1023573340
1112340aaa
127a89b90
134b64a2b
1431b8c20
152109a60
hex167b35c

23573340 has 144 divisors (see below), whose sum is σ = 83498688. Its totient is φ = 5271552.

The previous prime is 23573327. The next prime is 23573351. The reversal of 23573340 is 4337532.

It is a congruent number.

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, 66604 + ... + 66956.

It is an arithmetic number, because the mean of its divisors is an integer number (579852).

Almost surely, 223573340 is an apocalyptic number.

23573340 is a gapful number since it is divisible by the number (20) 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 23573340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41749344).

23573340 is an abundant number, since it is smaller than the sum of its proper divisors (59925348).

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

23573340 is a wasteful number, since it uses less digits than its factorization.

23573340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 23573340 is about 4855.2384081526. The cubic root of 23573340 is about 286.7303776427.

The spelling of 23573340 in words is "twenty-three million, five hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 180 210 212 252 265 315 318 353 371 420 477 530 630 636 706 742 795 954 1059 1060 1113 1260 1412 1484 1590 1765 1855 1908 2118 2226 2385 2471 3177 3180 3339 3530 3710 4236 4452 4770 4942 5295 5565 6354 6678 7060 7413 7420 9540 9884 10590 11130 12355 12708 13356 14826 15885 16695 18709 21180 22239 22260 24710 29652 31770 33390 37065 37418 44478 49420 56127 63540 66780 74130 74836 88956 93545 111195 112254 130963 148260 168381 187090 222390 224508 261926 280635 336762 374180 392889 444780 523852 561270 654815 673524 785778 841905 1122540 1178667 1309630 1571556 1683810 1964445 2357334 2619260 3367620 3928890 4714668 5893335 7857780 11786670 23573340