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4220920 = 2351153181
BaseRepresentation
bin10000000110011111111000
321221110000101
4100012133320
52040032140
6230245144
750606614
oct20063770
97843011
104220920
112423270
1214b67b4
13b4a2b2
147bc344
1558599a
hex4067f8

4220920 has 64 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1497600.

The previous prime is 4220917. The next prime is 4220927. The reversal of 4220920 is 290224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23230 + ... + 23410.

Almost surely, 24220920 is an apocalyptic number.

4220920 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 4220920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

4220920 is an abundant number, since it is smaller than the sum of its proper divisors (6393320).

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

4220920 is a wasteful number, since it uses less digits than its factorization.

4220920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4220920 is about 2054.4877707107. The cubic root of 4220920 is about 161.6103014379.

The spelling of 4220920 in words is "four million, two hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 181 212 220 265 362 424 440 530 583 724 905 1060 1166 1448 1810 1991 2120 2332 2915 3620 3982 4664 5830 7240 7964 9593 9955 11660 15928 19186 19910 23320 38372 39820 47965 76744 79640 95930 105523 191860 211046 383720 422092 527615 844184 1055230 2110460 4220920