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4920240 = 2435131983
BaseRepresentation
bin10010110001001110110000
3100020222022010
4102301032300
52224421430
6253242520
756551503
oct22611660
910228263
104920240
112860716
121793440
1310336b0
1492113a
15672cb0
hex4b13b0

4920240 has 160 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1133568.

The previous prime is 4920239. The next prime is 4920241. The reversal of 4920240 is 420294.

It is an interprime number because it is at equal distance from previous prime (4920239) and next prime (4920241).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4920241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59239 + ... + 59321.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 24920240 is an apocalyptic number.

4920240 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 4920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

4920240 is an abundant number, since it is smaller than the sum of its proper divisors (12578640).

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

4920240 is a wasteful number, since it uses less digits than its factorization.

4920240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4920240 is about 2218.1614008002. The cubic root of 4920240 is about 170.0834653578.

The spelling of 4920240 in words is "four million, nine hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 83 95 104 114 120 130 152 156 166 190 195 208 228 240 247 249 260 285 304 312 332 380 390 415 456 494 498 520 570 624 664 741 760 780 830 912 988 996 1040 1079 1140 1235 1245 1328 1482 1520 1560 1577 1660 1976 1992 2158 2280 2470 2490 2964 3120 3154 3237 3320 3705 3952 3984 4316 4560 4731 4940 4980 5395 5928 6308 6474 6640 7410 7885 8632 9462 9880 9960 10790 11856 12616 12948 14820 15770 16185 17264 18924 19760 19920 20501 21580 23655 25232 25896 29640 31540 32370 37848 41002 43160 47310 51792 59280 61503 63080 64740 75696 82004 86320 94620 102505 123006 126160 129480 164008 189240 205010 246012 258960 307515 328016 378480 410020 492024 615030 820040 984048 1230060 1640080 2460120 4920240