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4463940 = 2235135997
BaseRepresentation
bin10001000001110101000100
322101210101010
4101001311010
52120321230
6235402220
752641255
oct21016504
98353333
104463940
112579908
1215b3370
13c03ab0
14842b2c
155d29b0
hex441d44

4463940 has 96 divisors (see below), whose sum is σ = 13829760. Its totient is φ = 1069056.

The previous prime is 4463929. The next prime is 4463947. The reversal of 4463940 is 493644.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4463898 and 4463907.

It is not an unprimeable number, because it can be changed into a prime (4463947) 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, 45972 + ... + 46068.

It is an arithmetic number, because the mean of its divisors is an integer number (144060).

Almost surely, 24463940 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 4463940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914880).

4463940 is an abundant number, since it is smaller than the sum of its proper divisors (9365820).

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

4463940 is a wasteful number, since it uses less digits than its factorization.

4463940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4463940 is about 2112.8038243055. The cubic root of 4463940 is about 164.6541885092.

The spelling of 4463940 in words is "four million, four hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 59 60 65 78 97 118 130 156 177 194 195 236 260 291 295 354 388 390 485 582 590 708 767 780 885 970 1164 1180 1261 1455 1534 1770 1940 2301 2522 2910 3068 3540 3783 3835 4602 5044 5723 5820 6305 7566 7670 9204 11446 11505 12610 15132 15340 17169 18915 22892 23010 25220 28615 34338 37830 46020 57230 68676 74399 75660 85845 114460 148798 171690 223197 297596 343380 371995 446394 743990 892788 1115985 1487980 2231970 4463940