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4991220 = 223551379
BaseRepresentation
bin10011000010100011110100
3100101120200000
4103002203310
52234204340
6254551300
760265443
oct23024364
910346600
104991220
1128a9a83
121808530
131059ab0
1493cd5a
15688d30
hex4c28f4

4991220 has 144 divisors (see below), whose sum is σ = 17122560. Its totient is φ = 1213056.

The previous prime is 4991201. The next prime is 4991237. The reversal of 4991220 is 221994.

4991220 = T51 + T52 + ... + T310.

4991220 is a nontrivial binomial coefficient, being equal to C(3160, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63141 + ... + 63219.

Almost surely, 24991220 is an apocalyptic number.

4991220 is the 3159-th triangular number and also the 1580-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4991220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561280).

4991220 is an abundant number, since it is smaller than the sum of its proper divisors (12131340).

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

4991220 is a wasteful number, since it uses less digits than its factorization.

4991220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4991220 is about 2234.1038471835. The cubic root of 4991220 is about 170.8974454320.

The spelling of 4991220 in words is "four million, nine hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 79 81 90 108 117 130 135 156 158 162 180 195 234 237 243 260 270 316 324 351 390 395 405 468 474 486 540 585 702 711 780 790 810 948 972 1027 1053 1170 1185 1215 1404 1422 1580 1620 1755 2054 2106 2133 2340 2370 2430 2844 3081 3159 3510 3555 4108 4212 4266 4740 4860 5135 5265 6162 6318 6399 7020 7110 8532 9243 10270 10530 10665 12324 12636 12798 14220 15405 15795 18486 19197 20540 21060 21330 25596 27729 30810 31590 31995 36972 38394 42660 46215 55458 61620 63180 63990 76788 83187 92430 95985 110916 127980 138645 166374 184860 191970 249561 277290 332748 383940 415935 499122 554580 831870 998244 1247805 1663740 2495610 4991220