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4990920 = 23351119199
BaseRepresentation
bin10011000010011111001000
3100101120020220
4103002133020
52234202140
6254550040
760264534
oct23023710
910346226
104990920
1128a9830
121808320
13105990c
1493cbc4
15688bd0
hex4c27c8

4990920 has 128 divisors (see below), whose sum is σ = 17280000. Its totient is φ = 1140480.

The previous prime is 4990919. The next prime is 4990927. The reversal of 4990920 is 290994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4990927) 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, 24981 + ... + 25179.

It is an arithmetic number, because the mean of its divisors is an integer number (135000).

Almost surely, 24990920 is an apocalyptic number.

4990920 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 4990920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640000).

4990920 is an abundant number, since it is smaller than the sum of its proper divisors (12289080).

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

4990920 is a wasteful number, since it uses less digits than its factorization.

4990920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 4990920 is about 2234.0367051595. The cubic root of 4990920 is about 170.8940214020.

The spelling of 4990920 in words is "four million, nine hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 199 209 220 228 264 285 330 380 398 418 440 456 570 597 627 660 760 796 836 995 1045 1140 1194 1254 1320 1592 1672 1990 2090 2189 2280 2388 2508 2985 3135 3781 3980 4180 4378 4776 5016 5970 6270 6567 7562 7960 8360 8756 10945 11343 11940 12540 13134 15124 17512 18905 21890 22686 23880 25080 26268 30248 32835 37810 41591 43780 45372 52536 56715 65670 75620 83182 87560 90744 113430 124773 131340 151240 166364 207955 226860 249546 262680 332728 415910 453720 499092 623865 831820 998184 1247730 1663640 2495460 4990920