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116954400 = 2535248731
BaseRepresentation
bin1101111100010…
…01010100100000
322011001220021110
412332021110200
5214420020100
615334423320
72620044633
oct676112440
9264056243
10116954400
1160021632
1233201b40
131b2cb8b4
1411765c1a
15a403250
hex6f89520

116954400 has 72 divisors (see below), whose sum is σ = 380694384. Its totient is φ = 31187200.

The previous prime is 116954393. The next prime is 116954423. The reversal of 116954400 is 4459611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21966 + ... + 26765.

It is an arithmetic number, because the mean of its divisors is an integer number (5287422).

Almost surely, 2116954400 is an apocalyptic number.

116954400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116954400 is an abundant number, since it is smaller than the sum of its proper divisors (263739984).

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

116954400 is a wasteful number, since it uses less digits than its factorization.

116954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48754 (or 48741 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 116954400 is about 10814.5457602250. The cubic root of 116954400 is about 489.0337755452.

The spelling of 116954400 in words is "one hundred sixteen million, nine hundred fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 48731 97462 146193 194924 243655 292386 389848 487310 584772 730965 779696 974620 1169544 1218275 1461930 1559392 1949240 2339088 2436550 2923860 3654825 3898480 4678176 4873100 5847720 7309650 7796960 9746200 11695440 14619300 19492400 23390880 29238600 38984800 58477200 116954400