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100533420 = 223351314321
BaseRepresentation
bin1011111111000…
…00010010101100
321000011121221000
411333200102230
5201214032140
613550440300
72330343231
oct577402254
9230147830
10100533420
1151826279
1229803090
1317a9c540
14d4cd788
158c5ca30
hex5fe04ac

100533420 has 96 divisors (see below), whose sum is σ = 336853440. Its totient is φ = 24744960.

The previous prime is 100533383. The next prime is 100533439. The reversal of 100533420 is 24335001.

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 = 100533393 and 100533402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141 + ... + 14180.

It is an arithmetic number, because the mean of its divisors is an integer number (3508890).

Almost surely, 2100533420 is an apocalyptic number.

100533420 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 100533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168426720).

100533420 is an abundant number, since it is smaller than the sum of its proper divisors (236320020).

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

100533420 is a wasteful number, since it uses less digits than its factorization.

100533420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14352 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 100533420 is about 10026.6355274339. The cubic root of 100533420 is about 464.9827256850.

Adding to 100533420 its reverse (24335001), we get a palindrome (124868421).

The spelling of 100533420 in words is "one hundred million, five hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 14321 28642 42963 57284 71605 85926 128889 143210 171852 186173 214815 257778 286420 372346 386667 429630 515556 558519 644445 744692 773334 859260 930865 1117038 1288890 1546668 1675557 1861730 1933335 2234076 2577780 2792595 3351114 3723460 3866670 5026671 5585190 6702228 7733340 8377785 10053342 11170380 16755570 20106684 25133355 33511140 50266710 100533420