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4961320 = 2357132947
BaseRepresentation
bin10010111011010000101000
3100100001122121
4102323100220
52232230240
6254201024
760112330
oct22732050
910301577
104961320
112889571
1217b3174
1310492c0
149320c0
1568004a
hex4bb428

4961320 has 128 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1483776.

The previous prime is 4961317. The next prime is 4961321. The reversal of 4961320 is 231694.

4961320 = T106 + T107 + ... + T313.

It is a super-2 number, since 2×49613202 = 49229392284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4961321) 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, 105537 + ... + 105583.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 24961320 is an apocalyptic number.

4961320 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 4961320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4961320 is an abundant number, since it is smaller than the sum of its proper divisors (9553880).

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

4961320 is a wasteful number, since it uses less digits than its factorization.

4961320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 4961320 is about 2227.4020741662. The cubic root of 4961320 is about 170.5555069058. Note that the first 4 decimals are identical.

The spelling of 4961320 in words is "four million, nine hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 29 35 40 47 52 56 58 65 70 91 94 104 116 130 140 145 182 188 203 232 235 260 280 290 329 364 376 377 406 455 470 520 580 611 658 728 754 812 910 940 1015 1160 1222 1316 1363 1508 1624 1645 1820 1880 1885 2030 2444 2632 2639 2726 3016 3055 3290 3640 3770 4060 4277 4888 5278 5452 6110 6580 6815 7540 8120 8554 9541 10556 10904 12220 13160 13195 13630 15080 17108 17719 19082 21112 21385 24440 26390 27260 34216 35438 38164 42770 47705 52780 54520 70876 76328 85540 88595 95410 105560 124033 141752 171080 177190 190820 248066 354380 381640 496132 620165 708760 992264 1240330 2480660 4961320