Search a number
-
+
4940640 = 253254773
BaseRepresentation
bin10010110110001101100000
3100022000021200
4102312031200
52231100030
6253521200
756665125
oct22661540
910260250
104940640
112874a81
1217a3200
13103ca73
1492874c
15678d60
hex4b6360

4940640 has 144 divisors (see below), whose sum is σ = 17454528. Its totient is φ = 1271808.

The previous prime is 4940629. The next prime is 4940641. The reversal of 4940640 is 460494.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4940641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67644 + ... + 67716.

It is an arithmetic number, because the mean of its divisors is an integer number (121212).

Almost surely, 24940640 is an apocalyptic number.

4940640 is a gapful number since it is divisible by the number (40) 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 4940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727264).

4940640 is an abundant number, since it is smaller than the sum of its proper divisors (12513888).

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

4940640 is a wasteful number, since it uses less digits than its factorization.

4940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4940640 is about 2222.7550472331. The cubic root of 4940640 is about 170.3182044774.

The spelling of 4940640 in words is "four million, nine hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 73 80 90 94 96 120 141 144 146 160 180 188 219 235 240 282 288 292 360 365 376 423 438 470 480 564 584 657 705 720 730 752 846 876 940 1095 1128 1168 1314 1410 1440 1460 1504 1692 1752 1880 2115 2190 2256 2336 2628 2820 2920 3285 3384 3431 3504 3760 4230 4380 4512 5256 5640 5840 6570 6768 6862 7008 7520 8460 8760 10293 10512 11280 11680 13140 13536 13724 16920 17155 17520 20586 21024 22560 26280 27448 30879 33840 34310 35040 41172 51465 52560 54896 61758 67680 68620 82344 102930 105120 109792 123516 137240 154395 164688 205860 247032 274480 308790 329376 411720 494064 548960 617580 823440 988128 1235160 1646880 2470320 4940640