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116251044 = 223713219431
BaseRepresentation
bin1101110110111…
…01100110100100
322002202011110020
412323131212210
5214230013134
615311355140
72611055220
oct673354644
9262664406
10116251044
115a691148
1232b22ab0
131b113700
1411621780
15a314b49
hex6edd9a4

116251044 has 144 divisors (see below), whose sum is σ = 354170880. Its totient is φ = 28978560.

The previous prime is 116251027. The next prime is 116251061. The reversal of 116251044 is 440152611.

116251044 = T377 + T378 + ... + T908.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116251027) and next prime (116251061).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269509 + ... + 269939.

It is an arithmetic number, because the mean of its divisors is an integer number (2459520).

Almost surely, 2116251044 is an apocalyptic number.

116251044 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 116251044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

116251044 is an abundant number, since it is smaller than the sum of its proper divisors (237919836).

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

116251044 is a wasteful number, since it uses less digits than its factorization.

116251044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 116251044 is about 10781.9777406559. The cubic root of 116251044 is about 488.0514648312.

The spelling of 116251044 in words is "one hundred sixteen million, two hundred fifty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 169 182 228 247 266 273 338 364 399 431 494 507 532 546 676 741 798 862 988 1014 1092 1183 1293 1482 1596 1724 1729 2028 2366 2586 2964 3017 3211 3458 3549 4732 5172 5187 5603 6034 6422 6916 7098 8189 9051 9633 10374 11206 12068 12844 14196 16378 16809 18102 19266 20748 22412 22477 24567 32756 33618 36204 38532 39221 44954 49134 57323 67236 67431 72839 78442 89908 98268 106457 114646 117663 134862 145678 156884 171969 212914 218517 229292 235326 269724 291356 319371 343938 425828 437034 470652 509873 638742 687876 745199 874068 1019746 1277484 1383941 1490398 1529619 2039492 2235597 2767882 2980796 3059238 4151823 4471194 5535764 6118476 8303646 8942388 9687587 16607292 19375174 29062761 38750348 58125522 116251044