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100443420 = 223257117247
BaseRepresentation
bin1011111110010…
…10010100011100
321000000001110200
411333022110130
5201203142140
613544503500
72326516650
oct577122434
9230001420
10100443420
11517746a0
122977ab90
1317a6a59c
14d4a8a60
158c41030
hex5fca51c

100443420 has 144 divisors (see below), whose sum is σ = 379911168. Its totient is φ = 20868480.

The previous prime is 100443407. The next prime is 100443439. The reversal of 100443420 is 24344001.

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 = 100443393 and 100443402.

It is a congruent number.

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, 10237 + ... + 17483.

It is an arithmetic number, because the mean of its divisors is an integer number (2638272).

Almost surely, 2100443420 is an apocalyptic number.

100443420 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 100443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189955584).

100443420 is an abundant number, since it is smaller than the sum of its proper divisors (279467748).

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

100443420 is a wasteful number, since it uses less digits than its factorization.

100443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100443420 is about 10022.1464766785. The cubic root of 100443420 is about 464.8439295864.

Adding to 100443420 its reverse (24344001), we get a palindrome (124787421).

The spelling of 100443420 in words is "one hundred million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 7247 13860 14494 21741 28988 36235 43482 50729 65223 72470 79717 86964 101458 108705 130446 144940 152187 159434 202916 217410 239151 253645 260892 304374 318868 326115 398585 434820 456561 478302 507290 558019 608748 652230 717453 760935 797170 913122 956604 1014580 1116038 1195755 1304460 1434906 1521870 1594340 1674057 1826244 2232076 2282805 2391510 2790095 2869812 3043740 3348114 3587265 4565610 4783020 5022171 5580190 6696228 7174530 8370285 9131220 10044342 11160380 14349060 16740570 20088684 25110855 33481140 50221710 100443420