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100938474 = 23471341167
BaseRepresentation
bin1100000010000…
…11001011101010
321000221012120000
412001003023222
5201320012344
614003243430
72333651160
oct601031352
9230835500
10100938474
1151a8262a
1229979576
1317bb1a10
14d597230
158cdca69
hex60432ea

100938474 has 160 divisors (see below), whose sum is σ = 286868736. Its totient is φ = 25816320.

The previous prime is 100938463. The next prime is 100938529. The reversal of 100938474 is 474839001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 604339 + ... + 604505.

Almost surely, 2100938474 is an apocalyptic number.

100938474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100938474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143434368).

100938474 is an abundant number, since it is smaller than the sum of its proper divisors (185930262).

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

100938474 is a wasteful number, since it uses less digits than its factorization.

100938474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 100938474 is about 10046.8141218995. The cubic root of 100938474 is about 465.6063681508.

The spelling of 100938474 in words is "one hundred million, nine hundred thirty-eight thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 41 42 54 63 78 81 82 91 117 123 126 162 167 182 189 234 246 273 287 334 351 369 378 501 533 546 567 574 702 738 819 861 1002 1053 1066 1107 1134 1169 1503 1599 1638 1722 2106 2171 2214 2338 2457 2583 3006 3198 3321 3507 3731 4342 4509 4797 4914 5166 6513 6642 6847 7014 7371 7462 7749 9018 9594 10521 11193 13026 13527 13694 14391 14742 15197 15498 19539 20541 21042 22386 23247 27054 28782 30394 31563 33579 39078 41082 43173 45591 46494 47929 58617 61623 63126 67158 86346 89011 91182 94689 95858 100737 117234 123246 136773 143787 175851 178022 184869 189378 201474 267033 273546 287574 302211 351702 369738 410319 431361 534066 554607 604422 623077 801099 820638 862722 1109214 1230957 1246154 1294083 1602198 1869231 2403297 2461914 2588166 3738462 3882249 4806594 5607693 7209891 7764498 11215386 14419782 16823079 33646158 50469237 100938474