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3902220 = 22325719163
BaseRepresentation
bin1110111000101100001100
321100020211200
432320230030
51444332340
6215345500
745111510
oct16705414
97306750
103902220
112225883
121382290
13a6820a
14738140
15521330
hex3b8b0c

3902220 has 144 divisors (see below), whose sum is σ = 14327040. Its totient is φ = 839808.

The previous prime is 3902219. The next prime is 3902237. The reversal of 3902220 is 222093.

3902220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3902193 and 3902202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23859 + ... + 24021.

Almost surely, 23902220 is an apocalyptic number.

3902220 is a gapful number since it is divisible by the number (30) 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 3902220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163520).

3902220 is an abundant number, since it is smaller than the sum of its proper divisors (10424820).

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

3902220 is a wasteful number, since it uses less digits than its factorization.

3902220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3902220 is about 1975.4037561977. The cubic root of 3902220 is about 157.4359527948.

The spelling of 3902220 in words is "three million, nine hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 163 171 180 190 210 228 252 266 285 315 326 342 380 399 420 489 532 570 630 652 665 684 798 815 855 978 1140 1141 1197 1260 1330 1467 1596 1630 1710 1956 1995 2282 2394 2445 2660 2934 3097 3260 3420 3423 3990 4564 4788 4890 5705 5868 5985 6194 6846 7335 7980 9291 9780 10269 11410 11970 12388 13692 14670 15485 17115 18582 20538 21679 22820 23940 27873 29340 30970 34230 37164 41076 43358 46455 51345 55746 61940 65037 68460 86716 92910 102690 108395 111492 130074 139365 185820 195111 205380 216790 260148 278730 325185 390222 433580 557460 650370 780444 975555 1300740 1951110 3902220