Search a number
-
+
5029920 = 253257499
BaseRepresentation
bin10011001100000000100000
3100110112202100
4103030000200
52241424140
6255450400
760516330
oct23140040
910415670
105029920
112926065
121826a00
1310715ac
1494d0c0
15695530
hex4cc020

5029920 has 144 divisors (see below), whose sum is σ = 19656000. Its totient is φ = 1147392.

The previous prime is 5029907. The next prime is 5029933. The reversal of 5029920 is 299205.

It is an interprime number because it is at equal distance from previous prime (5029907) and next prime (5029933).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9831 + ... + 10329.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 25029920 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 5029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828000).

5029920 is an abundant number, since it is smaller than the sum of its proper divisors (14626080).

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

5029920 is a wasteful number, since it uses less digits than its factorization.

5029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5029920 is about 2242.7483140112. The cubic root of 5029920 is about 171.3379997753.

The spelling of 5029920 in words is "five million, twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 499 504 560 630 672 720 840 998 1008 1120 1260 1440 1497 1680 1996 2016 2495 2520 2994 3360 3493 3992 4491 4990 5040 5988 6986 7485 7984 8982 9980 10080 10479 11976 13972 14970 15968 17465 17964 19960 20958 22455 23952 27944 29940 31437 34930 35928 39920 41916 44910 47904 52395 55888 59880 62874 69860 71856 79840 83832 89820 104790 111776 119760 125748 139720 143712 157185 167664 179640 209580 239520 251496 279440 314370 335328 359280 419160 502992 558880 628740 718560 838320 1005984 1257480 1676640 2514960 5029920