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116042500 = 2254719349
BaseRepresentation
bin1101110101010…
…10101100000100
322002100120101101
412322222230010
5214201330000
615303105444
72606226220
oct672525404
9262316341
10116042500
115a5594a2
1232a42284
131b06c802
14115a9780
15a2c2e6a
hex6eaab04

116042500 has 120 divisors (see below), whose sum is σ = 306152000. Its totient is φ = 37584000.

The previous prime is 116042491. The next prime is 116042501. The reversal of 116042500 is 5240611.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (116042501) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 332326 + ... + 332674.

Almost surely, 2116042500 is an apocalyptic number.

116042500 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 116042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153076000).

116042500 is an abundant number, since it is smaller than the sum of its proper divisors (190109500).

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

116042500 is a wasteful number, since it uses less digits than its factorization.

116042500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 116042500 is about 10772.3024465525. The cubic root of 116042500 is about 487.7594498854.

It can be divided in two parts, 1160 and 42500, that added together give a triangular number (43660 = T295).

The spelling of 116042500 in words is "one hundred sixteen million, forty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 125 133 140 175 190 250 266 349 350 380 475 500 532 625 665 698 700 875 950 1250 1330 1396 1745 1750 1900 2375 2443 2500 2660 3325 3490 3500 4375 4750 4886 6631 6650 6980 8725 8750 9500 9772 11875 12215 13262 13300 16625 17450 17500 23750 24430 26524 33155 33250 34900 43625 46417 47500 48860 61075 66310 66500 83125 87250 92834 122150 132620 165775 166250 174500 185668 218125 232085 244300 305375 331550 332500 436250 464170 610750 663100 828875 872500 928340 1160425 1221500 1526875 1657750 2320850 3053750 3315500 4144375 4641700 5802125 6107500 8288750 11604250 16577500 23208500 29010625 58021250 116042500