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11273220 = 22325723389
BaseRepresentation
bin101011000000…
…010000000100
3210012201221200
4223000100010
510341220340
61041342500
7164551350
oct53002004
923181850
1011273220
1163aa812
123937a30
13244925a
1416d6460
15eca330
hexac0404

11273220 has 144 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 2458368.

The previous prime is 11273209. The next prime is 11273231. The reversal of 11273220 is 2237211.

It is an interprime number because it is at equal distance from previous prime (11273209) and next prime (11273231).

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11273193 and 11273202.

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, 28786 + ... + 29174.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 211273220 is an apocalyptic number.

11273220 is a gapful number since it is divisible by the number (10) 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 11273220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

11273220 is an abundant number, since it is smaller than the sum of its proper divisors (29611260).

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

11273220 is a wasteful number, since it uses less digits than its factorization.

11273220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11273220 is about 3357.5616152202. The cubic root of 11273220 is about 224.2242917103.

The spelling of 11273220 in words is "eleven million, two hundred seventy-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 389 414 420 460 483 630 644 690 778 805 828 966 1035 1167 1260 1380 1449 1556 1610 1932 1945 2070 2334 2415 2723 2898 3220 3501 3890 4140 4668 4830 5446 5796 5835 7002 7245 7780 8169 8947 9660 10892 11670 13615 14004 14490 16338 17505 17894 23340 24507 26841 27230 28980 32676 35010 35788 40845 44735 49014 53682 54460 62629 70020 80523 81690 89470 98028 107364 122535 125258 134205 161046 163380 178940 187887 245070 250516 268410 313145 322092 375774 402615 490140 536820 563661 626290 751548 805230 939435 1127322 1252580 1610460 1878870 2254644 2818305 3757740 5636610 11273220