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118921400 = 23521353863
BaseRepresentation
bin1110001011010…
…01100010111000
322021202211111022
413011221202320
5220420441100
615444522012
72642546423
oct705514270
9267684438
10118921400
1161145454
12339b0308
131b839cc0
1411b189ba
15a690e85
hex71698b8

118921400 has 96 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 43031040.

The previous prime is 118921393. The next prime is 118921427. The reversal of 118921400 is 4129811.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 118921400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137369 + ... + 138231.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2118921400 is an apocalyptic number.

118921400 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 118921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

118921400 is an abundant number, since it is smaller than the sum of its proper divisors (184809160).

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

118921400 is a wasteful number, since it uses less digits than its factorization.

118921400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 118921400 is about 10905.1088944586. The cubic root of 118921400 is about 491.7601558632.

The spelling of 118921400 in words is "one hundred eighteen million, nine hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 863 1060 1300 1325 1378 1726 2120 2600 2650 2756 3445 3452 4315 5300 5512 6890 6904 8630 10600 11219 13780 17225 17260 21575 22438 27560 34450 34520 43150 44876 45739 56095 68900 86300 89752 91478 112190 137800 172600 182956 224380 228695 280475 365912 448760 457390 560950 594607 914780 1121900 1143475 1189214 1829560 2243800 2286950 2378428 2973035 4573900 4756856 5946070 9147800 11892140 14865175 23784280 29730350 59460700 118921400