Search a number
-
+
100055424 = 273737223
BaseRepresentation
bin1011111011010…
…11100110000000
320222021100020110
411331223212000
5201103233144
613532311320
72323312530
oct575534600
9228240213
10100055424
115152a137
1229612540
1317962ac1
14d4074c0
158bb60b9
hex5f6b980

100055424 has 64 divisors (see below), whose sum is σ = 303747840. Its totient is φ = 28586496.

The previous prime is 100055413. The next prime is 100055429. The reversal of 100055424 is 424550001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1000554242 = 20022175743639552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100055424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100055429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15924 + ... + 21299.

It is an arithmetic number, because the mean of its divisors is an integer number (4746060).

Almost surely, 2100055424 is an apocalyptic number.

100055424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100055424 is an abundant number, since it is smaller than the sum of its proper divisors (203692416).

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

100055424 is an equidigital number, since it uses as much as digits as its factorization.

100055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37247 (or 37235 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 100055424 is about 10002.7708161289. The cubic root of 100055424 is about 464.2446193303.

The spelling of 100055424 in words is "one hundred million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 37223 74446 111669 148892 223338 260561 297784 446676 521122 595568 781683 893352 1042244 1191136 1563366 1786704 2084488 2382272 3126732 3573408 4168976 4764544 6253464 7146816 8337952 12506928 14293632 16675904 25013856 33351808 50027712 100055424