Search a number
-
+
940969224 = 233413195879
BaseRepresentation
bin111000000101100…
…000110100001000
32102120121012010000
4320011200310020
53411342003344
6233212123000
732214051336
oct7005406410
92376535100
10940969224
11443175118
12223166460
1311cc3c430
148cd82b56
1557920a69
hex38160d08

940969224 has 160 divisors (see below), whose sum is σ = 2988216000. Its totient is φ = 274243968.

The previous prime is 940969223. The next prime is 940969247. The reversal of 940969224 is 422969049.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 940969224.

It is not an unprimeable number, because it can be changed into a prime (940969223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157117 + ... + 162995.

It is an arithmetic number, because the mean of its divisors is an integer number (18676350).

Almost surely, 2940969224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940969224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494108000).

940969224 is an abundant number, since it is smaller than the sum of its proper divisors (2047246776).

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

940969224 is a wasteful number, since it uses less digits than its factorization.

940969224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 940969224 is about 30675.2216617908. The cubic root of 940969224 is about 979.9226733378.

The spelling of 940969224 in words is "nine hundred forty million, nine hundred sixty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 152 156 162 171 216 228 234 247 312 324 342 351 456 468 494 513 648 684 702 741 936 988 1026 1053 1368 1404 1482 1539 1976 2052 2106 2223 2808 2964 3078 4104 4212 4446 5879 5928 6156 6669 8424 8892 11758 12312 13338 17637 17784 20007 23516 26676 35274 40014 47032 52911 53352 70548 76427 80028 105822 111701 141096 152854 158733 160056 211644 223402 229281 305708 317466 335103 423288 446804 458562 476199 611416 634932 670206 687843 893608 917124 952398 1005309 1269864 1340412 1375686 1452113 1834248 1904796 2010618 2063529 2680824 2751372 2904226 3015927 3809592 4021236 4127058 4356339 5502744 5808452 6031854 6190587 8042472 8254116 8712678 9047781 11616904 12063708 12381174 13069017 16508232 17425356 18095562 24127416 24762348 26138034 34850712 36191124 39207051 49524696 52276068 72382248 78414102 104552136 117621153 156828204 235242306 313656408 470484612 940969224