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4229680 = 245721383
BaseRepresentation
bin10000001000101000110000
321221220000211
4100020220300
52040322210
6230353504
750644300
oct20105060
97856024
104229680
112429904
1214bb894
13b51290
147c1600
1558838a
hex408a30

4229680 has 120 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 1322496.

The previous prime is 4229657. The next prime is 4229689. The reversal of 4229680 is 869224.

It is not an unprimeable number, because it can be changed into a prime (4229689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50919 + ... + 51001.

Almost surely, 24229680 is an apocalyptic number.

4229680 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 4229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

4229680 is an abundant number, since it is smaller than the sum of its proper divisors (8238272).

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

4229680 is a wasteful number, since it uses less digits than its factorization.

4229680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4229680 is about 2056.6185839868. The cubic root of 4229680 is about 161.7220249479.

The spelling of 4229680 in words is "four million, two hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 83 91 98 104 112 130 140 166 182 196 208 245 260 280 332 364 392 415 455 490 520 560 581 637 664 728 784 830 910 980 1040 1079 1162 1274 1328 1456 1660 1820 1960 2158 2324 2548 2905 3185 3320 3640 3920 4067 4316 4648 5096 5395 5810 6370 6640 7280 7553 8134 8632 9296 10192 10790 11620 12740 15106 16268 17264 20335 21580 23240 25480 30212 32536 37765 40670 43160 46480 50960 52871 60424 65072 75530 81340 86320 105742 120848 151060 162680 211484 264355 302120 325360 422968 528710 604240 845936 1057420 2114840 4229680