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100698444 = 223371112109
BaseRepresentation
bin1100000000010…
…00100101001100
321000111000022000
412000020211030
5201234322234
613554152300
72331631320
oct600104514
9230430260
10100698444
1151929260
1229882690
1317b296a2
14d533980
158c91899
hex600894c

100698444 has 96 divisors (see below), whose sum is σ = 325516800. Its totient is φ = 26153280.

The previous prime is 100698401. The next prime is 100698457. The reversal of 100698444 is 444896001.

It is a happy number.

It is a super-2 number, since 2×1006984442 = 20280353248042272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100698399 and 100698408.

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, 2262 + ... + 14370.

It is an arithmetic number, because the mean of its divisors is an integer number (3390800).

Almost surely, 2100698444 is an apocalyptic number.

100698444 is a gapful number since it is divisible by the number (14) 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 100698444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162758400).

100698444 is an abundant number, since it is smaller than the sum of its proper divisors (224818356).

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

100698444 is a wasteful number, since it uses less digits than its factorization.

100698444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12140 (or 12132 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 100698444 is about 10034.8614340209. The cubic root of 100698444 is about 465.2370071703.

The spelling of 100698444 in words is "one hundred million, six hundred ninety-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 12109 24218 36327 48436 72654 84763 108981 133199 145308 169526 217962 254289 266398 326943 339052 399597 435924 508578 532796 653886 762867 799194 932393 1017156 1198791 1307772 1525734 1598388 1864786 2288601 2397582 2797179 3051468 3596373 3729572 4577202 4795164 5594358 7192746 8391537 9154404 11188716 14385492 16783074 25174611 33566148 50349222 100698444